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Finding the Fourth Proportional to 25,597.17, 35,319.42 and 14,266.38

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Solution

The fourth proportional to 25,597.17, 35,319.42 and 14,266.38 is: 19,685.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,597.17 : 35,319.42 = 14,266.38 : x
  2. Step 2: Convert to fraction form
    25,597.17/35,319.42 = 14,266.38/x
  3. Step 3: Cross multiply
    25,597.17x = 35,319.42 × 14,266.38
  4. Step 4: Simplify right side
    25,597.17x = 503,880,267.10
  5. Step 5: Solve for x
    x = 503,880,267.10/25,597.17
  6. Step 6: Final answer
    x = 19,685.00

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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.