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Finding the Fourth Proportional to 25,077.94, 37,607.19 and 13,384.78

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Solution

The fourth proportional to 25,077.94, 37,607.19 and 13,384.78 is: 20,071.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,077.94 : 37,607.19 = 13,384.78 : x
  2. Step 2: Convert to fraction form
    25,077.94/37,607.19 = 13,384.78/x
  3. Step 3: Cross multiply
    25,077.94x = 37,607.19 × 13,384.78
  4. Step 4: Simplify right side
    25,077.94x = 503,363,964.57
  5. Step 5: Solve for x
    x = 503,363,964.57/25,077.94
  6. Step 6: Final answer
    x = 20,071.98

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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.