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Finding the Fourth Proportional to 22,661.14, 31,272.35 and 12,590.51

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Solution

The fourth proportional to 22,661.14, 31,272.35 and 12,590.51 is: 17,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,661.14 : 31,272.35 = 12,590.51 : x
  2. Step 2: Convert to fraction form
    22,661.14/31,272.35 = 12,590.51/x
  3. Step 3: Cross multiply
    22,661.14x = 31,272.35 × 12,590.51
  4. Step 4: Simplify right side
    22,661.14x = 393,734,772.45
  5. Step 5: Solve for x
    x = 393,734,772.45/22,661.14
  6. Step 6: Final answer
    x = 17,374.89

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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.