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Finding the Fourth Proportional to 23,117.84, 34,696.20 and 9,980.18

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Solution

The fourth proportional to 23,117.84, 34,696.20 and 9,980.18 is: 14,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.84 : 34,696.20 = 9,980.18 : x
  2. Step 2: Convert to fraction form
    23,117.84/34,696.20 = 9,980.18/x
  3. Step 3: Cross multiply
    23,117.84x = 34,696.20 × 9,980.18
  4. Step 4: Simplify right side
    23,117.84x = 346,274,321.32
  5. Step 5: Solve for x
    x = 346,274,321.32/23,117.84
  6. Step 6: Final answer
    x = 14,978.66

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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.