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Finding the Fourth Proportional to 12,974.88, 19,436.43 and 10,002.93

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Solution

The fourth proportional to 12,974.88, 19,436.43 and 10,002.93 is: 14,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974.88 : 19,436.43 = 10,002.93 : x
  2. Step 2: Convert to fraction form
    12,974.88/19,436.43 = 10,002.93/x
  3. Step 3: Cross multiply
    12,974.88x = 19,436.43 × 10,002.93
  4. Step 4: Simplify right side
    12,974.88x = 194,421,248.74
  5. Step 5: Solve for x
    x = 194,421,248.74/12,974.88
  6. Step 6: Final answer
    x = 14,984.44

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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.