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Finding the Fourth Proportional to 23,030.19, 31,781.70 and 12,959.19

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Solution

The fourth proportional to 23,030.19, 31,781.70 and 12,959.19 is: 17,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,030.19 : 31,781.70 = 12,959.19 : x
  2. Step 2: Convert to fraction form
    23,030.19/31,781.70 = 12,959.19/x
  3. Step 3: Cross multiply
    23,030.19x = 31,781.70 × 12,959.19
  4. Step 4: Simplify right side
    23,030.19x = 411,865,088.82
  5. Step 5: Solve for x
    x = 411,865,088.82/23,030.19
  6. Step 6: Final answer
    x = 17,883.70

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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.