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Finding the Fourth Proportional to 21,598.97, 29,812.14 and 14,064.12

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Solution

The fourth proportional to 21,598.97, 29,812.14 and 14,064.12 is: 19,412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,598.97 : 29,812.14 = 14,064.12 : x
  2. Step 2: Convert to fraction form
    21,598.97/29,812.14 = 14,064.12/x
  3. Step 3: Cross multiply
    21,598.97x = 29,812.14 × 14,064.12
  4. Step 4: Simplify right side
    21,598.97x = 419,281,514.42
  5. Step 5: Solve for x
    x = 419,281,514.42/21,598.97
  6. Step 6: Final answer
    x = 19,412.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.