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Finding the Fourth Proportional to 24,897.76, 37,345.32 and 9,314.20

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Solution

The fourth proportional to 24,897.76, 37,345.32 and 9,314.20 is: 13,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,897.76 : 37,345.32 = 9,314.20 : x
  2. Step 2: Convert to fraction form
    24,897.76/37,345.32 = 9,314.20/x
  3. Step 3: Cross multiply
    24,897.76x = 37,345.32 × 9,314.20
  4. Step 4: Simplify right side
    24,897.76x = 347,841,779.54
  5. Step 5: Solve for x
    x = 347,841,779.54/24,897.76
  6. Step 6: Final answer
    x = 13,970.81

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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.