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Finding the Fourth Proportional to 25,114.88, 34,657.38 and 13,784.12

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Solution

The fourth proportional to 25,114.88, 34,657.38 and 13,784.12 is: 19,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114.88 : 34,657.38 = 13,784.12 : x
  2. Step 2: Convert to fraction form
    25,114.88/34,657.38 = 13,784.12/x
  3. Step 3: Cross multiply
    25,114.88x = 34,657.38 × 13,784.12
  4. Step 4: Simplify right side
    25,114.88x = 477,721,484.81
  5. Step 5: Solve for x
    x = 477,721,484.81/25,114.88
  6. Step 6: Final answer
    x = 19,021.45

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Why These Related Problems?

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