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Finding the Fourth Proportional to 25,224, 34,809.12 and 14,048.64

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Solution

The fourth proportional to 25,224, 34,809.12 and 14,048.64 is: 19,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,224 : 34,809.12 = 14,048.64 : x
  2. Step 2: Convert to fraction form
    25,224/34,809.12 = 14,048.64/x
  3. Step 3: Cross multiply
    25,224x = 34,809.12 × 14,048.64
  4. Step 4: Simplify right side
    25,224x = 489,020,795.60
  5. Step 5: Solve for x
    x = 489,020,795.60/25,224
  6. Step 6: Final answer
    x = 19,387.12

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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.