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Finding the Fourth Proportional to 25,878.32, 35,709.72 and 14,545.20

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Solution

The fourth proportional to 25,878.32, 35,709.72 and 14,545.20 is: 20,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.32 : 35,709.72 = 14,545.20 : x
  2. Step 2: Convert to fraction form
    25,878.32/35,709.72 = 14,545.20/x
  3. Step 3: Cross multiply
    25,878.32x = 35,709.72 × 14,545.20
  4. Step 4: Simplify right side
    25,878.32x = 519,405,019.34
  5. Step 5: Solve for x
    x = 519,405,019.34/25,878.32
  6. Step 6: Final answer
    x = 20,071.05

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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.