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Finding the Fourth Proportional to 15,068, 22,602.54 and 4,679.48

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Solution

The fourth proportional to 15,068, 22,602.54 and 4,679.48 is: 7,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,068 : 22,602.54 = 4,679.48 : x
  2. Step 2: Convert to fraction form
    15,068/22,602.54 = 4,679.48/x
  3. Step 3: Cross multiply
    15,068x = 22,602.54 × 4,679.48
  4. Step 4: Simplify right side
    15,068x = 105,768,133.88
  5. Step 5: Solve for x
    x = 105,768,133.88/15,068
  6. Step 6: Final answer
    x = 7,019.39

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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.