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Finding the Fourth Proportional to 25,106.56, 34,648.07 and 15,033

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Solution

The fourth proportional to 25,106.56, 34,648.07 and 15,033 is: 20,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,106.56 : 34,648.07 = 15,033 : x
  2. Step 2: Convert to fraction form
    25,106.56/34,648.07 = 15,033/x
  3. Step 3: Cross multiply
    25,106.56x = 34,648.07 × 15,033
  4. Step 4: Simplify right side
    25,106.56x = 520,864,436.31
  5. Step 5: Solve for x
    x = 520,864,436.31/25,106.56
  6. Step 6: Final answer
    x = 20,746.15

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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.