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Finding the Fourth Proportional to 14,719.50, 22,071.04 and 4,856.13

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Solution

The fourth proportional to 14,719.50, 22,071.04 and 4,856.13 is: 7,281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719.50 : 22,071.04 = 4,856.13 : x
  2. Step 2: Convert to fraction form
    14,719.50/22,071.04 = 4,856.13/x
  3. Step 3: Cross multiply
    14,719.50x = 22,071.04 × 4,856.13
  4. Step 4: Simplify right side
    14,719.50x = 107,179,839.48
  5. Step 5: Solve for x
    x = 107,179,839.48/14,719.50
  6. Step 6: Final answer
    x = 7,281.49

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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.