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Finding the Fourth Proportional to 14,287.20, 19,715.40 and 7,999.44

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Solution

The fourth proportional to 14,287.20, 19,715.40 and 7,999.44 is: 11,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.20 : 19,715.40 = 7,999.44 : x
  2. Step 2: Convert to fraction form
    14,287.20/19,715.40 = 7,999.44/x
  3. Step 3: Cross multiply
    14,287.20x = 19,715.40 × 7,999.44
  4. Step 4: Simplify right side
    14,287.20x = 157,712,159.38
  5. Step 5: Solve for x
    x = 157,712,159.38/14,287.20
  6. Step 6: Final answer
    x = 11,038.70

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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.