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Finding the Fourth Proportional to 25,114.68, 34,657.58 and 13,784.16

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Solution

The fourth proportional to 25,114.68, 34,657.58 and 13,784.16 is: 19,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114.68 : 34,657.58 = 13,784.16 : x
  2. Step 2: Convert to fraction form
    25,114.68/34,657.58 = 13,784.16/x
  3. Step 3: Cross multiply
    25,114.68x = 34,657.58 × 13,784.16
  4. Step 4: Simplify right side
    25,114.68x = 477,725,627.93
  5. Step 5: Solve for x
    x = 477,725,627.93/25,114.68
  6. Step 6: Final answer
    x = 19,021.77

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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.