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Finding the Fourth Proportional to 24,688.36, 37,032.36 and 9,897.06

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Solution

The fourth proportional to 24,688.36, 37,032.36 and 9,897.06 is: 14,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,688.36 : 37,032.36 = 9,897.06 : x
  2. Step 2: Convert to fraction form
    24,688.36/37,032.36 = 9,897.06/x
  3. Step 3: Cross multiply
    24,688.36x = 37,032.36 × 9,897.06
  4. Step 4: Simplify right side
    24,688.36x = 366,511,488.86
  5. Step 5: Solve for x
    x = 366,511,488.86/24,688.36
  6. Step 6: Final answer
    x = 14,845.52

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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.