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Finding the Fourth Proportional to 16,742, 25,113.48 and 4,430

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Solution

The fourth proportional to 16,742, 25,113.48 and 4,430 is: 6,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,742 : 25,113.48 = 4,430 : x
  2. Step 2: Convert to fraction form
    16,742/25,113.48 = 4,430/x
  3. Step 3: Cross multiply
    16,742x = 25,113.48 × 4,430
  4. Step 4: Simplify right side
    16,742x = 111,252,716.40
  5. Step 5: Solve for x
    x = 111,252,716.40/16,742
  6. Step 6: Final answer
    x = 6,645.13

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