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Finding the Fourth Proportional to 25,590.78, 35,314.70 and 14,260.22

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Solution

The fourth proportional to 25,590.78, 35,314.70 and 14,260.22 is: 19,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,590.78 : 35,314.70 = 14,260.22 : x
  2. Step 2: Convert to fraction form
    25,590.78/35,314.70 = 14,260.22/x
  3. Step 3: Cross multiply
    25,590.78x = 35,314.70 × 14,260.22
  4. Step 4: Simplify right side
    25,590.78x = 503,595,391.23
  5. Step 5: Solve for x
    x = 503,595,391.23/25,590.78
  6. Step 6: Final answer
    x = 19,678.78

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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.