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Finding the Fourth Proportional to 24,867.52, 37,301.40 and 9,285

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Solution

The fourth proportional to 24,867.52, 37,301.40 and 9,285 is: 13,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,867.52 : 37,301.40 = 9,285 : x
  2. Step 2: Convert to fraction form
    24,867.52/37,301.40 = 9,285/x
  3. Step 3: Cross multiply
    24,867.52x = 37,301.40 × 9,285
  4. Step 4: Simplify right side
    24,867.52x = 346,343,499
  5. Step 5: Solve for x
    x = 346,343,499/24,867.52
  6. Step 6: Final answer
    x = 13,927.54

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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.