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Finding the Fourth Proportional to 15,097.42, 22,646.10 and 9,902.08

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Solution

The fourth proportional to 15,097.42, 22,646.10 and 9,902.08 is: 14,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.42 : 22,646.10 = 9,902.08 : x
  2. Step 2: Convert to fraction form
    15,097.42/22,646.10 = 9,902.08/x
  3. Step 3: Cross multiply
    15,097.42x = 22,646.10 × 9,902.08
  4. Step 4: Simplify right side
    15,097.42x = 224,243,493.89
  5. Step 5: Solve for x
    x = 224,243,493.89/15,097.42
  6. Step 6: Final answer
    x = 14,853.10

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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.