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Finding the Fourth Proportional to 20,988.10, 31,466.74 and 9,888.54

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Solution

The fourth proportional to 20,988.10, 31,466.74 and 9,888.54 is: 14,825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,988.10 : 31,466.74 = 9,888.54 : x
  2. Step 2: Convert to fraction form
    20,988.10/31,466.74 = 9,888.54/x
  3. Step 3: Cross multiply
    20,988.10x = 31,466.74 × 9,888.54
  4. Step 4: Simplify right side
    20,988.10x = 311,160,117.16
  5. Step 5: Solve for x
    x = 311,160,117.16/20,988.10
  6. Step 6: Final answer
    x = 14,825.55

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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.