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Finding the Fourth Proportional to 14,833.68, 22,243.32 and 5,478.10

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Solution

The fourth proportional to 14,833.68, 22,243.32 and 5,478.10 is: 8,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.68 : 22,243.32 = 5,478.10 : x
  2. Step 2: Convert to fraction form
    14,833.68/22,243.32 = 5,478.10/x
  3. Step 3: Cross multiply
    14,833.68x = 22,243.32 × 5,478.10
  4. Step 4: Simplify right side
    14,833.68x = 121,851,159.10
  5. Step 5: Solve for x
    x = 121,851,159.10/14,833.68
  6. Step 6: Final answer
    x = 8,214.49

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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.