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Finding the Fourth Proportional to 23,657.40, 32,646.96 and 13,047.48

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Solution

The fourth proportional to 23,657.40, 32,646.96 and 13,047.48 is: 18,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.40 : 32,646.96 = 13,047.48 : x
  2. Step 2: Convert to fraction form
    23,657.40/32,646.96 = 13,047.48/x
  3. Step 3: Cross multiply
    23,657.40x = 32,646.96 × 13,047.48
  4. Step 4: Simplify right side
    23,657.40x = 425,960,557.66
  5. Step 5: Solve for x
    x = 425,960,557.66/23,657.40
  6. Step 6: Final answer
    x = 18,005.38

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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.