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Finding the Fourth Proportional to 15,117, 22,677.54 and 4,729.56

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Solution

The fourth proportional to 15,117, 22,677.54 and 4,729.56 is: 7,094.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,117 : 22,677.54 = 4,729.56 : x
  2. Step 2: Convert to fraction form
    15,117/22,677.54 = 4,729.56/x
  3. Step 3: Cross multiply
    15,117x = 22,677.54 × 4,729.56
  4. Step 4: Simplify right side
    15,117x = 107,254,786.08
  5. Step 5: Solve for x
    x = 107,254,786.08/15,117
  6. Step 6: Final answer
    x = 7,094.98

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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.