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Finding the Fourth Proportional to 20,792.53, 31,205.17 and 9,693.50

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Solution

The fourth proportional to 20,792.53, 31,205.17 and 9,693.50 is: 14,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,792.53 : 31,205.17 = 9,693.50 : x
  2. Step 2: Convert to fraction form
    20,792.53/31,205.17 = 9,693.50/x
  3. Step 3: Cross multiply
    20,792.53x = 31,205.17 × 9,693.50
  4. Step 4: Simplify right side
    20,792.53x = 302,487,315.40
  5. Step 5: Solve for x
    x = 302,487,315.40/20,792.53
  6. Step 6: Final answer
    x = 14,547.89

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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.