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Finding the Fourth Proportional to 14,689.28, 22,033.86 and 4,301

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Solution

The fourth proportional to 14,689.28, 22,033.86 and 4,301 is: 6,451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.28 : 22,033.86 = 4,301 : x
  2. Step 2: Convert to fraction form
    14,689.28/22,033.86 = 4,301/x
  3. Step 3: Cross multiply
    14,689.28x = 22,033.86 × 4,301
  4. Step 4: Simplify right side
    14,689.28x = 94,767,631.86
  5. Step 5: Solve for x
    x = 94,767,631.86/14,689.28
  6. Step 6: Final answer
    x = 6,451.48

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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.