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Finding the Fourth Proportional to 15,476.88, 23,207.70 and 5,614.68

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Solution

The fourth proportional to 15,476.88, 23,207.70 and 5,614.68 is: 8,419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,476.88 : 23,207.70 = 5,614.68 : x
  2. Step 2: Convert to fraction form
    15,476.88/23,207.70 = 5,614.68/x
  3. Step 3: Cross multiply
    15,476.88x = 23,207.70 × 5,614.68
  4. Step 4: Simplify right side
    15,476.88x = 130,303,809.04
  5. Step 5: Solve for x
    x = 130,303,809.04/15,476.88
  6. Step 6: Final answer
    x = 8,419.26

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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.