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Finding the Fourth Proportional to 23,107.80, 31,888.63 and 13,036.32

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Solution

The fourth proportional to 23,107.80, 31,888.63 and 13,036.32 is: 17,990.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.80 : 31,888.63 = 13,036.32 : x
  2. Step 2: Convert to fraction form
    23,107.80/31,888.63 = 13,036.32/x
  3. Step 3: Cross multiply
    23,107.80x = 31,888.63 × 13,036.32
  4. Step 4: Simplify right side
    23,107.80x = 415,710,432.17
  5. Step 5: Solve for x
    x = 415,710,432.17/23,107.80
  6. Step 6: Final answer
    x = 17,990.05

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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.