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Finding the Fourth Proportional to 25,596, 35,323.02 and 14,418

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Solution

The fourth proportional to 25,596, 35,323.02 and 14,418 is: 19,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596 : 35,323.02 = 14,418 : x
  2. Step 2: Convert to fraction form
    25,596/35,323.02 = 14,418/x
  3. Step 3: Cross multiply
    25,596x = 35,323.02 × 14,418
  4. Step 4: Simplify right side
    25,596x = 509,287,302.36
  5. Step 5: Solve for x
    x = 509,287,302.36/25,596
  6. Step 6: Final answer
    x = 19,897.14

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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.