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Finding the Fourth Proportional to 24,602.20, 36,870.62 and 9,802.98

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Solution

The fourth proportional to 24,602.20, 36,870.62 and 9,802.98 is: 14,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,602.20 : 36,870.62 = 9,802.98 : x
  2. Step 2: Convert to fraction form
    24,602.20/36,870.62 = 9,802.98/x
  3. Step 3: Cross multiply
    24,602.20x = 36,870.62 × 9,802.98
  4. Step 4: Simplify right side
    24,602.20x = 361,441,901.43
  5. Step 5: Solve for x
    x = 361,441,901.43/24,602.20
  6. Step 6: Final answer
    x = 14,691.45

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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.