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Finding the Fourth Proportional to 16,712, 25,079.52 and 5,768

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Solution

The fourth proportional to 16,712, 25,079.52 and 5,768 is: 8,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,712 : 25,079.52 = 5,768 : x
  2. Step 2: Convert to fraction form
    16,712/25,079.52 = 5,768/x
  3. Step 3: Cross multiply
    16,712x = 25,079.52 × 5,768
  4. Step 4: Simplify right side
    16,712x = 144,658,671.36
  5. Step 5: Solve for x
    x = 144,658,671.36/16,712
  6. Step 6: Final answer
    x = 8,655.98

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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.