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Finding the Fourth Proportional to 23,112, 31,894.44 and 12,501.60

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Solution

The fourth proportional to 23,112, 31,894.44 and 12,501.60 is: 17,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112 : 31,894.44 = 12,501.60 : x
  2. Step 2: Convert to fraction form
    23,112/31,894.44 = 12,501.60/x
  3. Step 3: Cross multiply
    23,112x = 31,894.44 × 12,501.60
  4. Step 4: Simplify right side
    23,112x = 398,731,531.10
  5. Step 5: Solve for x
    x = 398,731,531.10/23,112
  6. Step 6: Final answer
    x = 17,252.14

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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.