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Finding the Fourth Proportional to 23,070, 31,836.60 and 13,135.92

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Solution

The fourth proportional to 23,070, 31,836.60 and 13,135.92 is: 18,127.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,070 : 31,836.60 = 13,135.92 : x
  2. Step 2: Convert to fraction form
    23,070/31,836.60 = 13,135.92/x
  3. Step 3: Cross multiply
    23,070x = 31,836.60 × 13,135.92
  4. Step 4: Simplify right side
    23,070x = 418,203,030.67
  5. Step 5: Solve for x
    x = 418,203,030.67/23,070
  6. Step 6: Final answer
    x = 18,127.57

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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.