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Finding the Fourth Proportional to 15,146.88, 22,717.44 and 5,152.08

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Solution

The fourth proportional to 15,146.88, 22,717.44 and 5,152.08 is: 7,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.88 : 22,717.44 = 5,152.08 : x
  2. Step 2: Convert to fraction form
    15,146.88/22,717.44 = 5,152.08/x
  3. Step 3: Cross multiply
    15,146.88x = 22,717.44 × 5,152.08
  4. Step 4: Simplify right side
    15,146.88x = 117,042,068.28
  5. Step 5: Solve for x
    x = 117,042,068.28/15,146.88
  6. Step 6: Final answer
    x = 7,727.14

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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.