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Finding the Fourth Proportional to 23,641.92, 32,627.52 and 13,572

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Solution

The fourth proportional to 23,641.92, 32,627.52 and 13,572 is: 18,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641.92 : 32,627.52 = 13,572 : x
  2. Step 2: Convert to fraction form
    23,641.92/32,627.52 = 13,572/x
  3. Step 3: Cross multiply
    23,641.92x = 32,627.52 × 13,572
  4. Step 4: Simplify right side
    23,641.92x = 442,820,701.44
  5. Step 5: Solve for x
    x = 442,820,701.44/23,641.92
  6. Step 6: Final answer
    x = 18,730.32

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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.