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Finding the Fourth Proportional to 14,875.76, 22,299.61 and 5,008.14

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Solution

The fourth proportional to 14,875.76, 22,299.61 and 5,008.14 is: 7,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,875.76 : 22,299.61 = 5,008.14 : x
  2. Step 2: Convert to fraction form
    14,875.76/22,299.61 = 5,008.14/x
  3. Step 3: Cross multiply
    14,875.76x = 22,299.61 × 5,008.14
  4. Step 4: Simplify right side
    14,875.76x = 111,679,579.78
  5. Step 5: Solve for x
    x = 111,679,579.78/14,875.76
  6. Step 6: Final answer
    x = 7,507.49

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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.