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Finding the Fourth Proportional to 25,527, 38,300.84 and 11,477.20

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Solution

The fourth proportional to 25,527, 38,300.84 and 11,477.20 is: 17,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,527 : 38,300.84 = 11,477.20 : x
  2. Step 2: Convert to fraction form
    25,527/38,300.84 = 11,477.20/x
  3. Step 3: Cross multiply
    25,527x = 38,300.84 × 11,477.20
  4. Step 4: Simplify right side
    25,527x = 439,586,400.85
  5. Step 5: Solve for x
    x = 439,586,400.85/25,527
  6. Step 6: Final answer
    x = 17,220.45

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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.