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Finding the Fourth Proportional to 22,701.32, 31,328.10 and 12,765.32

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Solution

The fourth proportional to 22,701.32, 31,328.10 and 12,765.32 is: 17,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,701.32 : 31,328.10 = 12,765.32 : x
  2. Step 2: Convert to fraction form
    22,701.32/31,328.10 = 12,765.32/x
  3. Step 3: Cross multiply
    22,701.32x = 31,328.10 × 12,765.32
  4. Step 4: Simplify right side
    22,701.32x = 399,913,221.49
  5. Step 5: Solve for x
    x = 399,913,221.49/22,701.32
  6. Step 6: Final answer
    x = 17,616.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.