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Finding the Fourth Proportional to 23,030.70, 31,782.00 and 12,959.14

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Solution

The fourth proportional to 23,030.70, 31,782.00 and 12,959.14 is: 17,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,030.70 : 31,782.00 = 12,959.14 : x
  2. Step 2: Convert to fraction form
    23,030.70/31,782.00 = 12,959.14/x
  3. Step 3: Cross multiply
    23,030.70x = 31,782.00 × 12,959.14
  4. Step 4: Simplify right side
    23,030.70x = 411,867,279.29
  5. Step 5: Solve for x
    x = 411,867,279.29/23,030.70
  6. Step 6: Final answer
    x = 17,883.40

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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.