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Finding the Fourth Proportional to 14,332, 21,499.08 and 5,098

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Solution

The fourth proportional to 14,332, 21,499.08 and 5,098 is: 7,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332 : 21,499.08 = 5,098 : x
  2. Step 2: Convert to fraction form
    14,332/21,499.08 = 5,098/x
  3. Step 3: Cross multiply
    14,332x = 21,499.08 × 5,098
  4. Step 4: Simplify right side
    14,332x = 109,602,309.84
  5. Step 5: Solve for x
    x = 109,602,309.84/14,332
  6. Step 6: Final answer
    x = 7,647.38

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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.