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Finding the Fourth Proportional to 15,157.14, 22,746.33 and 8,486.70

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Solution

The fourth proportional to 15,157.14, 22,746.33 and 8,486.70 is: 12,736.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,157.14 : 22,746.33 = 8,486.70 : x
  2. Step 2: Convert to fraction form
    15,157.14/22,746.33 = 8,486.70/x
  3. Step 3: Cross multiply
    15,157.14x = 22,746.33 × 8,486.70
  4. Step 4: Simplify right side
    15,157.14x = 193,041,278.81
  5. Step 5: Solve for x
    x = 193,041,278.81/15,157.14
  6. Step 6: Final answer
    x = 12,736.00

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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.