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Finding the Fourth Proportional to 39,264, 54,184.32 and 21,600

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Solution

The fourth proportional to 39,264, 54,184.32 and 21,600 is: 29,808

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,264 : 54,184.32 = 21,600 : x
  2. Step 2: Convert to fraction form
    39,264/54,184.32 = 21,600/x
  3. Step 3: Cross multiply
    39,264x = 54,184.32 × 21,600
  4. Step 4: Simplify right side
    39,264x = 1,170,381,312
  5. Step 5: Solve for x
    x = 1,170,381,312/39,264
  6. Step 6: Final answer
    x = 29,808

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.