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Finding the Fourth Proportional to 15,773.47, 23,656.86 and 5,913.47

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Solution

The fourth proportional to 15,773.47, 23,656.86 and 5,913.47 is: 8,868.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.47 : 23,656.86 = 5,913.47 : x
  2. Step 2: Convert to fraction form
    15,773.47/23,656.86 = 5,913.47/x
  3. Step 3: Cross multiply
    15,773.47x = 23,656.86 × 5,913.47
  4. Step 4: Simplify right side
    15,773.47x = 139,894,102.34
  5. Step 5: Solve for x
    x = 139,894,102.34/15,773.47
  6. Step 6: Final answer
    x = 8,868.95

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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.