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Finding the Fourth Proportional to 25,589.74, 35,307.66 and 14,411.74

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Solution

The fourth proportional to 25,589.74, 35,307.66 and 14,411.74 is: 19,884.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,589.74 : 35,307.66 = 14,411.74 : x
  2. Step 2: Convert to fraction form
    25,589.74/35,307.66 = 14,411.74/x
  3. Step 3: Cross multiply
    25,589.74x = 35,307.66 × 14,411.74
  4. Step 4: Simplify right side
    25,589.74x = 508,844,815.93
  5. Step 5: Solve for x
    x = 508,844,815.93/25,589.74
  6. Step 6: Final answer
    x = 19,884.72

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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.