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Finding the Fourth Proportional to 17,851.59, 26,781.44 and 12,307.14

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Solution

The fourth proportional to 17,851.59, 26,781.44 and 12,307.14 is: 18,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.59 : 26,781.44 = 12,307.14 : x
  2. Step 2: Convert to fraction form
    17,851.59/26,781.44 = 12,307.14/x
  3. Step 3: Cross multiply
    17,851.59x = 26,781.44 × 12,307.14
  4. Step 4: Simplify right side
    17,851.59x = 329,602,869.95
  5. Step 5: Solve for x
    x = 329,602,869.95/17,851.59
  6. Step 6: Final answer
    x = 18,463.50

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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.