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Finding the Fourth Proportional to 25,024, 34,533.12 and 13,847.68

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Solution

The fourth proportional to 25,024, 34,533.12 and 13,847.68 is: 19,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,024 : 34,533.12 = 13,847.68 : x
  2. Step 2: Convert to fraction form
    25,024/34,533.12 = 13,847.68/x
  3. Step 3: Cross multiply
    25,024x = 34,533.12 × 13,847.68
  4. Step 4: Simplify right side
    25,024x = 478,203,595.16
  5. Step 5: Solve for x
    x = 478,203,595.16/25,024
  6. Step 6: Final answer
    x = 19,109.80

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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.