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Finding the Fourth Proportional to 19,566.90, 27,002.07 and 10,614.15

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Solution

The fourth proportional to 19,566.90, 27,002.07 and 10,614.15 is: 14,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,566.90 : 27,002.07 = 10,614.15 : x
  2. Step 2: Convert to fraction form
    19,566.90/27,002.07 = 10,614.15/x
  3. Step 3: Cross multiply
    19,566.90x = 27,002.07 × 10,614.15
  4. Step 4: Simplify right side
    19,566.90x = 286,604,021.29
  5. Step 5: Solve for x
    x = 286,604,021.29/19,566.90
  6. Step 6: Final answer
    x = 14,647.39

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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.