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Finding the Fourth Proportional to 15,752.32, 23,620.68 and 9,180.16

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Solution

The fourth proportional to 15,752.32, 23,620.68 and 9,180.16 is: 13,765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.32 : 23,620.68 = 9,180.16 : x
  2. Step 2: Convert to fraction form
    15,752.32/23,620.68 = 9,180.16/x
  3. Step 3: Cross multiply
    15,752.32x = 23,620.68 × 9,180.16
  4. Step 4: Simplify right side
    15,752.32x = 216,841,621.71
  5. Step 5: Solve for x
    x = 216,841,621.71/15,752.32
  6. Step 6: Final answer
    x = 13,765.69

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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.