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Finding the Fourth Proportional to 24,969, 37,459.66 and 7,438.76

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Solution

The fourth proportional to 24,969, 37,459.66 and 7,438.76 is: 11,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,969 : 37,459.66 = 7,438.76 : x
  2. Step 2: Convert to fraction form
    24,969/37,459.66 = 7,438.76/x
  3. Step 3: Cross multiply
    24,969x = 37,459.66 × 7,438.76
  4. Step 4: Simplify right side
    24,969x = 278,653,420.42
  5. Step 5: Solve for x
    x = 278,653,420.42/24,969
  6. Step 6: Final answer
    x = 11,159.98

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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.