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Finding the Fourth Proportional to 16,569.30, 24,862.05 and 7,802.70

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Solution

The fourth proportional to 16,569.30, 24,862.05 and 7,802.70 is: 11,707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569.30 : 24,862.05 = 7,802.70 : x
  2. Step 2: Convert to fraction form
    16,569.30/24,862.05 = 7,802.70/x
  3. Step 3: Cross multiply
    16,569.30x = 24,862.05 × 7,802.70
  4. Step 4: Simplify right side
    16,569.30x = 193,991,117.54
  5. Step 5: Solve for x
    x = 193,991,117.54/16,569.30
  6. Step 6: Final answer
    x = 11,707.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.