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Finding the Fourth Proportional to 10,875.68, 16,352.88 and 10,020.32

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Solution

The fourth proportional to 10,875.68, 16,352.88 and 10,020.32 is: 15,066.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.68 : 16,352.88 = 10,020.32 : x
  2. Step 2: Convert to fraction form
    10,875.68/16,352.88 = 10,020.32/x
  3. Step 3: Cross multiply
    10,875.68x = 16,352.88 × 10,020.32
  4. Step 4: Simplify right side
    10,875.68x = 163,861,090.52
  5. Step 5: Solve for x
    x = 163,861,090.52/10,875.68
  6. Step 6: Final answer
    x = 15,066.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.