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Finding the Fourth Proportional to 15,341.80, 23,012.70 and 9,509.80

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Solution

The fourth proportional to 15,341.80, 23,012.70 and 9,509.80 is: 14,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,341.80 : 23,012.70 = 9,509.80 : x
  2. Step 2: Convert to fraction form
    15,341.80/23,012.70 = 9,509.80/x
  3. Step 3: Cross multiply
    15,341.80x = 23,012.70 × 9,509.80
  4. Step 4: Simplify right side
    15,341.80x = 218,846,174.46
  5. Step 5: Solve for x
    x = 218,846,174.46/15,341.80
  6. Step 6: Final answer
    x = 14,264.70

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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.