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Finding the Fourth Proportional to 13,045.14, 19,532.88 and 7,490.16

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Solution

The fourth proportional to 13,045.14, 19,532.88 and 7,490.16 is: 11,215.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045.14 : 19,532.88 = 7,490.16 : x
  2. Step 2: Convert to fraction form
    13,045.14/19,532.88 = 7,490.16/x
  3. Step 3: Cross multiply
    13,045.14x = 19,532.88 × 7,490.16
  4. Step 4: Simplify right side
    13,045.14x = 146,304,396.46
  5. Step 5: Solve for x
    x = 146,304,396.46/13,045.14
  6. Step 6: Final answer
    x = 11,215.24

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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.