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Finding the Fourth Proportional to 25,963.04, 38,946.04 and 8,434.36

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Solution

The fourth proportional to 25,963.04, 38,946.04 and 8,434.36 is: 12,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,963.04 : 38,946.04 = 8,434.36 : x
  2. Step 2: Convert to fraction form
    25,963.04/38,946.04 = 8,434.36/x
  3. Step 3: Cross multiply
    25,963.04x = 38,946.04 × 8,434.36
  4. Step 4: Simplify right side
    25,963.04x = 328,484,921.93
  5. Step 5: Solve for x
    x = 328,484,921.93/25,963.04
  6. Step 6: Final answer
    x = 12,652.02

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Why These Related Problems?

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