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Finding the Fourth Proportional to 25,384.16, 38,047.92 and 10,588.16

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Solution

The fourth proportional to 25,384.16, 38,047.92 and 10,588.16 is: 15,870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,384.16 : 38,047.92 = 10,588.16 : x
  2. Step 2: Convert to fraction form
    25,384.16/38,047.92 = 10,588.16/x
  3. Step 3: Cross multiply
    25,384.16x = 38,047.92 × 10,588.16
  4. Step 4: Simplify right side
    25,384.16x = 402,857,464.63
  5. Step 5: Solve for x
    x = 402,857,464.63/25,384.16
  6. Step 6: Final answer
    x = 15,870.43

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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.