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Finding the Fourth Proportional to 24,670.98, 37,000.31 and 9,681.14

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Solution

The fourth proportional to 24,670.98, 37,000.31 and 9,681.14 is: 14,519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,670.98 : 37,000.31 = 9,681.14 : x
  2. Step 2: Convert to fraction form
    24,670.98/37,000.31 = 9,681.14/x
  3. Step 3: Cross multiply
    24,670.98x = 37,000.31 × 9,681.14
  4. Step 4: Simplify right side
    24,670.98x = 358,205,225.25
  5. Step 5: Solve for x
    x = 358,205,225.25/24,670.98
  6. Step 6: Final answer
    x = 14,519.29

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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.