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Finding the Fourth Proportional to 14,294.61, 19,724.72 and 8,006.99

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Solution

The fourth proportional to 14,294.61, 19,724.72 and 8,006.99 is: 11,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.61 : 19,724.72 = 8,006.99 : x
  2. Step 2: Convert to fraction form
    14,294.61/19,724.72 = 8,006.99/x
  3. Step 3: Cross multiply
    14,294.61x = 19,724.72 × 8,006.99
  4. Step 4: Simplify right side
    14,294.61x = 157,935,497.13
  5. Step 5: Solve for x
    x = 157,935,497.13/14,294.61
  6. Step 6: Final answer
    x = 11,048.60

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Why These Related Problems?

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