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Finding the Fourth Proportional to 14,499, 21,726.36 and 10,347.75

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Solution

The fourth proportional to 14,499, 21,726.36 and 10,347.75 is: 15,505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,499 : 21,726.36 = 10,347.75 : x
  2. Step 2: Convert to fraction form
    14,499/21,726.36 = 10,347.75/x
  3. Step 3: Cross multiply
    14,499x = 21,726.36 × 10,347.75
  4. Step 4: Simplify right side
    14,499x = 224,818,941.69
  5. Step 5: Solve for x
    x = 224,818,941.69/14,499
  6. Step 6: Final answer
    x = 15,505.82

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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.