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Finding the Fourth Proportional to 25,176.16, 37,768.74 and 10,377

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Solution

The fourth proportional to 25,176.16, 37,768.74 and 10,377 is: 15,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,176.16 : 37,768.74 = 10,377 : x
  2. Step 2: Convert to fraction form
    25,176.16/37,768.74 = 10,377/x
  3. Step 3: Cross multiply
    25,176.16x = 37,768.74 × 10,377
  4. Step 4: Simplify right side
    25,176.16x = 391,926,214.98
  5. Step 5: Solve for x
    x = 391,926,214.98/25,176.16
  6. Step 6: Final answer
    x = 15,567.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.