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Finding the Fourth Proportional to 22,537.84, 31,091.88 and 14,582.66

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Solution

The fourth proportional to 22,537.84, 31,091.88 and 14,582.66 is: 20,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,537.84 : 31,091.88 = 14,582.66 : x
  2. Step 2: Convert to fraction form
    22,537.84/31,091.88 = 14,582.66/x
  3. Step 3: Cross multiply
    22,537.84x = 31,091.88 × 14,582.66
  4. Step 4: Simplify right side
    22,537.84x = 453,402,314.80
  5. Step 5: Solve for x
    x = 453,402,314.80/22,537.84
  6. Step 6: Final answer
    x = 20,117.38

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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.