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Finding the Fourth Proportional to 15,340, 22,875.73 and 15,199.87

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Solution

The fourth proportional to 15,340, 22,875.73 and 15,199.87 is: 22,666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,340 : 22,875.73 = 15,199.87 : x
  2. Step 2: Convert to fraction form
    15,340/22,875.73 = 15,199.87/x
  3. Step 3: Cross multiply
    15,340x = 22,875.73 × 15,199.87
  4. Step 4: Simplify right side
    15,340x = 347,708,122.16
  5. Step 5: Solve for x
    x = 347,708,122.16/15,340
  6. Step 6: Final answer
    x = 22,666.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.