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Finding the Fourth Proportional to 25,878.05, 38,807.53 and 9,233.63

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Solution

The fourth proportional to 25,878.05, 38,807.53 and 9,233.63 is: 13,847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.05 : 38,807.53 = 9,233.63 : x
  2. Step 2: Convert to fraction form
    25,878.05/38,807.53 = 9,233.63/x
  3. Step 3: Cross multiply
    25,878.05x = 38,807.53 × 9,233.63
  4. Step 4: Simplify right side
    25,878.05x = 358,334,156.11
  5. Step 5: Solve for x
    x = 358,334,156.11/25,878.05
  6. Step 6: Final answer
    x = 13,847.03

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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.