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Finding the Fourth Proportional to 14,767.64, 22,143.23 and 4,901.52

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Solution

The fourth proportional to 14,767.64, 22,143.23 and 4,901.52 is: 7,349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,767.64 : 22,143.23 = 4,901.52 : x
  2. Step 2: Convert to fraction form
    14,767.64/22,143.23 = 4,901.52/x
  3. Step 3: Cross multiply
    14,767.64x = 22,143.23 × 4,901.52
  4. Step 4: Simplify right side
    14,767.64x = 108,535,484.71
  5. Step 5: Solve for x
    x = 108,535,484.71/14,767.64
  6. Step 6: Final answer
    x = 7,349.55

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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.