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Finding the Fourth Proportional to 15,534.16, 23,301.28 and 7,213.12

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Solution

The fourth proportional to 15,534.16, 23,301.28 and 7,213.12 is: 10,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,534.16 : 23,301.28 = 7,213.12 : x
  2. Step 2: Convert to fraction form
    15,534.16/23,301.28 = 7,213.12/x
  3. Step 3: Cross multiply
    15,534.16x = 23,301.28 × 7,213.12
  4. Step 4: Simplify right side
    15,534.16x = 168,074,928.79
  5. Step 5: Solve for x
    x = 168,074,928.79/15,534.16
  6. Step 6: Final answer
    x = 10,819.70

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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.