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Finding the Fourth Proportional to 22,715.53, 31,347.43 and 12,643.75

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Solution

The fourth proportional to 22,715.53, 31,347.43 and 12,643.75 is: 17,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,715.53 : 31,347.43 = 12,643.75 : x
  2. Step 2: Convert to fraction form
    22,715.53/31,347.43 = 12,643.75/x
  3. Step 3: Cross multiply
    22,715.53x = 31,347.43 × 12,643.75
  4. Step 4: Simplify right side
    22,715.53x = 396,349,114.82
  5. Step 5: Solve for x
    x = 396,349,114.82/22,715.53
  6. Step 6: Final answer
    x = 17,448.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.