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Finding the Fourth Proportional to 25,696, 35,461.56 and 14,518

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Solution

The fourth proportional to 25,696, 35,461.56 and 14,518 is: 20,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,696 : 35,461.56 = 14,518 : x
  2. Step 2: Convert to fraction form
    25,696/35,461.56 = 14,518/x
  3. Step 3: Cross multiply
    25,696x = 35,461.56 × 14,518
  4. Step 4: Simplify right side
    25,696x = 514,830,928.08
  5. Step 5: Solve for x
    x = 514,830,928.08/25,696
  6. Step 6: Final answer
    x = 20,035.45

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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.