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Finding the Fourth Proportional to 24,837.88, 37,258.02 and 7,307.86

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Solution

The fourth proportional to 24,837.88, 37,258.02 and 7,307.86 is: 10,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,837.88 : 37,258.02 = 7,307.86 : x
  2. Step 2: Convert to fraction form
    24,837.88/37,258.02 = 7,307.86/x
  3. Step 3: Cross multiply
    24,837.88x = 37,258.02 × 7,307.86
  4. Step 4: Simplify right side
    24,837.88x = 272,276,394.04
  5. Step 5: Solve for x
    x = 272,276,394.04/24,837.88
  6. Step 6: Final answer
    x = 10,962.14

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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.