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Finding the Fourth Proportional to 24,494.12, 33,802.02 and 14,423

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Solution

The fourth proportional to 24,494.12, 33,802.02 and 14,423 is: 19,903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.12 : 33,802.02 = 14,423 : x
  2. Step 2: Convert to fraction form
    24,494.12/33,802.02 = 14,423/x
  3. Step 3: Cross multiply
    24,494.12x = 33,802.02 × 14,423
  4. Step 4: Simplify right side
    24,494.12x = 487,526,534.46
  5. Step 5: Solve for x
    x = 487,526,534.46/24,494.12
  6. Step 6: Final answer
    x = 19,903.82

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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.