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Finding the Fourth Proportional to 14,833.76, 22,248.48 and 4,973

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Solution

The fourth proportional to 14,833.76, 22,248.48 and 4,973 is: 7,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.76 : 22,248.48 = 4,973 : x
  2. Step 2: Convert to fraction form
    14,833.76/22,248.48 = 4,973/x
  3. Step 3: Cross multiply
    14,833.76x = 22,248.48 × 4,973
  4. Step 4: Simplify right side
    14,833.76x = 110,641,691.04
  5. Step 5: Solve for x
    x = 110,641,691.04/14,833.76
  6. Step 6: Final answer
    x = 7,458.78

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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.