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Finding the Fourth Proportional to 25,097.97, 37,624.62 and 9,526.53

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Solution

The fourth proportional to 25,097.97, 37,624.62 and 9,526.53 is: 14,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.97 : 37,624.62 = 9,526.53 : x
  2. Step 2: Convert to fraction form
    25,097.97/37,624.62 = 9,526.53/x
  3. Step 3: Cross multiply
    25,097.97x = 37,624.62 × 9,526.53
  4. Step 4: Simplify right side
    25,097.97x = 358,432,071.17
  5. Step 5: Solve for x
    x = 358,432,071.17/25,097.97
  6. Step 6: Final answer
    x = 14,281.32

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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.