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Finding the Fourth Proportional to 25,594.42, 35,319.77 and 14,264.95

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Solution

The fourth proportional to 25,594.42, 35,319.77 and 14,264.95 is: 19,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,594.42 : 35,319.77 = 14,264.95 : x
  2. Step 2: Convert to fraction form
    25,594.42/35,319.77 = 14,264.95/x
  3. Step 3: Cross multiply
    25,594.42x = 35,319.77 × 14,264.95
  4. Step 4: Simplify right side
    25,594.42x = 503,834,779.38
  5. Step 5: Solve for x
    x = 503,834,779.38/25,594.42
  6. Step 6: Final answer
    x = 19,685.34

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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.