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Finding the Fourth Proportional to 16,735.29, 25,106.01 and 13,642.40

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Solution

The fourth proportional to 16,735.29, 25,106.01 and 13,642.40 is: 20,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,735.29 : 25,106.01 = 13,642.40 : x
  2. Step 2: Convert to fraction form
    16,735.29/25,106.01 = 13,642.40/x
  3. Step 3: Cross multiply
    16,735.29x = 25,106.01 × 13,642.40
  4. Step 4: Simplify right side
    16,735.29x = 342,506,230.82
  5. Step 5: Solve for x
    x = 342,506,230.82/16,735.29
  6. Step 6: Final answer
    x = 20,466.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.