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Finding the Fourth Proportional to 23,810.80, 32,886.94 and 15,838.78

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Solution

The fourth proportional to 23,810.80, 32,886.94 and 15,838.78 is: 21,876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,810.80 : 32,886.94 = 15,838.78 : x
  2. Step 2: Convert to fraction form
    23,810.80/32,886.94 = 15,838.78/x
  3. Step 3: Cross multiply
    23,810.80x = 32,886.94 × 15,838.78
  4. Step 4: Simplify right side
    23,810.80x = 520,889,007.53
  5. Step 5: Solve for x
    x = 520,889,007.53/23,810.80
  6. Step 6: Final answer
    x = 21,876.17

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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.