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Finding the Fourth Proportional to 21,655.32, 29,908.95 and 14,569.44

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Solution

The fourth proportional to 21,655.32, 29,908.95 and 14,569.44 is: 20,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,655.32 : 29,908.95 = 14,569.44 : x
  2. Step 2: Convert to fraction form
    21,655.32/29,908.95 = 14,569.44/x
  3. Step 3: Cross multiply
    21,655.32x = 29,908.95 × 14,569.44
  4. Step 4: Simplify right side
    21,655.32x = 435,756,652.49
  5. Step 5: Solve for x
    x = 435,756,652.49/21,655.32
  6. Step 6: Final answer
    x = 20,122.38

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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.