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Finding the Fourth Proportional to 23,657.60, 32,647.02 and 13,047.50

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Solution

The fourth proportional to 23,657.60, 32,647.02 and 13,047.50 is: 18,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.60 : 32,647.02 = 13,047.50 : x
  2. Step 2: Convert to fraction form
    23,657.60/32,647.02 = 13,047.50/x
  3. Step 3: Cross multiply
    23,657.60x = 32,647.02 × 13,047.50
  4. Step 4: Simplify right side
    23,657.60x = 425,961,993.45
  5. Step 5: Solve for x
    x = 425,961,993.45/23,657.60
  6. Step 6: Final answer
    x = 18,005.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.