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Finding the Fourth Proportional to 25,282.95, 34,897.41 and 14,676

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Solution

The fourth proportional to 25,282.95, 34,897.41 and 14,676 is: 20,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,282.95 : 34,897.41 = 14,676 : x
  2. Step 2: Convert to fraction form
    25,282.95/34,897.41 = 14,676/x
  3. Step 3: Cross multiply
    25,282.95x = 34,897.41 × 14,676
  4. Step 4: Simplify right side
    25,282.95x = 512,154,389.16
  5. Step 5: Solve for x
    x = 512,154,389.16/25,282.95
  6. Step 6: Final answer
    x = 20,256.91

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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.