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Finding the Fourth Proportional to 23,496, 32,428.32 and 13,565.76

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Solution

The fourth proportional to 23,496, 32,428.32 and 13,565.76 is: 18,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496 : 32,428.32 = 13,565.76 : x
  2. Step 2: Convert to fraction form
    23,496/32,428.32 = 13,565.76/x
  3. Step 3: Cross multiply
    23,496x = 32,428.32 × 13,565.76
  4. Step 4: Simplify right side
    23,496x = 439,914,806.32
  5. Step 5: Solve for x
    x = 439,914,806.32/23,496
  6. Step 6: Final answer
    x = 18,722.97

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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.