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Finding the Fourth Proportional to 16,482.52, 22,746.29 and 9,409.60

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Solution

The fourth proportional to 16,482.52, 22,746.29 and 9,409.60 is: 12,985.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,482.52 : 22,746.29 = 9,409.60 : x
  2. Step 2: Convert to fraction form
    16,482.52/22,746.29 = 9,409.60/x
  3. Step 3: Cross multiply
    16,482.52x = 22,746.29 × 9,409.60
  4. Step 4: Simplify right side
    16,482.52x = 214,033,471.77
  5. Step 5: Solve for x
    x = 214,033,471.77/16,482.52
  6. Step 6: Final answer
    x = 12,985.48

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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.