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Finding the Fourth Proportional to 20,569.53, 30,856.65 and 10,032.03

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Solution

The fourth proportional to 20,569.53, 30,856.65 and 10,032.03 is: 15,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,569.53 : 30,856.65 = 10,032.03 : x
  2. Step 2: Convert to fraction form
    20,569.53/30,856.65 = 10,032.03/x
  3. Step 3: Cross multiply
    20,569.53x = 30,856.65 × 10,032.03
  4. Step 4: Simplify right side
    20,569.53x = 309,554,838.50
  5. Step 5: Solve for x
    x = 309,554,838.50/20,569.53
  6. Step 6: Final answer
    x = 15,049.19

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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.