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Finding the Fourth Proportional to 25,854.62, 35,676.51 and 14,521.50

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Solution

The fourth proportional to 25,854.62, 35,676.51 and 14,521.50 is: 20,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854.62 : 35,676.51 = 14,521.50 : x
  2. Step 2: Convert to fraction form
    25,854.62/35,676.51 = 14,521.50/x
  3. Step 3: Cross multiply
    25,854.62x = 35,676.51 × 14,521.50
  4. Step 4: Simplify right side
    25,854.62x = 518,076,439.97
  5. Step 5: Solve for x
    x = 518,076,439.97/25,854.62
  6. Step 6: Final answer
    x = 20,038.06

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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.