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Finding the Fourth Proportional to 16,510.71, 22,778.79 and 10,848.50

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Solution

The fourth proportional to 16,510.71, 22,778.79 and 10,848.50 is: 14,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.71 : 22,778.79 = 10,848.50 : x
  2. Step 2: Convert to fraction form
    16,510.71/22,778.79 = 10,848.50/x
  3. Step 3: Cross multiply
    16,510.71x = 22,778.79 × 10,848.50
  4. Step 4: Simplify right side
    16,510.71x = 247,115,787.38
  5. Step 5: Solve for x
    x = 247,115,787.38/16,510.71
  6. Step 6: Final answer
    x = 14,967.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.