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Finding the Fourth Proportional to 15,133.16, 22,700.46 and 4,745

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Solution

The fourth proportional to 15,133.16, 22,700.46 and 4,745 is: 7,117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,133.16 : 22,700.46 = 4,745 : x
  2. Step 2: Convert to fraction form
    15,133.16/22,700.46 = 4,745/x
  3. Step 3: Cross multiply
    15,133.16x = 22,700.46 × 4,745
  4. Step 4: Simplify right side
    15,133.16x = 107,713,682.70
  5. Step 5: Solve for x
    x = 107,713,682.70/15,133.16
  6. Step 6: Final answer
    x = 7,117.73

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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.