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Finding the Fourth Proportional to 22,275.41, 30,707.51 and 16,961.00

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Solution

The fourth proportional to 22,275.41, 30,707.51 and 16,961.00 is: 23,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,275.41 : 30,707.51 = 16,961.00 : x
  2. Step 2: Convert to fraction form
    22,275.41/30,707.51 = 16,961.00/x
  3. Step 3: Cross multiply
    22,275.41x = 30,707.51 × 16,961.00
  4. Step 4: Simplify right side
    22,275.41x = 520,829,838.77
  5. Step 5: Solve for x
    x = 520,829,838.77/22,275.41
  6. Step 6: Final answer
    x = 23,381.39

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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.