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Finding the Fourth Proportional to 20,870.63, 31,312.87 and 13,878.17

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Solution

The fourth proportional to 20,870.63, 31,312.87 and 13,878.17 is: 20,821.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,870.63 : 31,312.87 = 13,878.17 : x
  2. Step 2: Convert to fraction form
    20,870.63/31,312.87 = 13,878.17/x
  3. Step 3: Cross multiply
    20,870.63x = 31,312.87 × 13,878.17
  4. Step 4: Simplify right side
    20,870.63x = 434,565,263.66
  5. Step 5: Solve for x
    x = 434,565,263.66/20,870.63
  6. Step 6: Final answer
    x = 20,821.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.