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Finding the Fourth Proportional to 16,509.18, 24,763.77 and 7,141.53

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Solution

The fourth proportional to 16,509.18, 24,763.77 and 7,141.53 is: 10,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.18 : 24,763.77 = 7,141.53 : x
  2. Step 2: Convert to fraction form
    16,509.18/24,763.77 = 7,141.53/x
  3. Step 3: Cross multiply
    16,509.18x = 24,763.77 × 7,141.53
  4. Step 4: Simplify right side
    16,509.18x = 176,851,206.37
  5. Step 5: Solve for x
    x = 176,851,206.37/16,509.18
  6. Step 6: Final answer
    x = 10,712.30

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1.5x scale

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.