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Finding the Fourth Proportional to 14,098.75, 21,142.65 and 7,521.35

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Solution

The fourth proportional to 14,098.75, 21,142.65 and 7,521.35 is: 11,279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.75 : 21,142.65 = 7,521.35 : x
  2. Step 2: Convert to fraction form
    14,098.75/21,142.65 = 7,521.35/x
  3. Step 3: Cross multiply
    14,098.75x = 21,142.65 × 7,521.35
  4. Step 4: Simplify right side
    14,098.75x = 159,021,193.07
  5. Step 5: Solve for x
    x = 159,021,193.07/14,098.75
  6. Step 6: Final answer
    x = 11,279.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.