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Finding the Fourth Proportional to 16,030.32, 22,114.08 and 11,304.24

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Solution

The fourth proportional to 16,030.32, 22,114.08 and 11,304.24 is: 15,594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,030.32 : 22,114.08 = 11,304.24 : x
  2. Step 2: Convert to fraction form
    16,030.32/22,114.08 = 11,304.24/x
  3. Step 3: Cross multiply
    16,030.32x = 22,114.08 × 11,304.24
  4. Step 4: Simplify right side
    16,030.32x = 249,982,867.70
  5. Step 5: Solve for x
    x = 249,982,867.70/16,030.32
  6. Step 6: Final answer
    x = 15,594.38

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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.