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Finding the Fourth Proportional to 14,970.64, 22,456.32 and 7,170.88

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Solution

The fourth proportional to 14,970.64, 22,456.32 and 7,170.88 is: 10,756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.64 : 22,456.32 = 7,170.88 : x
  2. Step 2: Convert to fraction form
    14,970.64/22,456.32 = 7,170.88/x
  3. Step 3: Cross multiply
    14,970.64x = 22,456.32 × 7,170.88
  4. Step 4: Simplify right side
    14,970.64x = 161,031,575.96
  5. Step 5: Solve for x
    x = 161,031,575.96/14,970.64
  6. Step 6: Final answer
    x = 10,756.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.