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Finding the Fourth Proportional to 14,382.65, 19,854.20 and 9,669.67

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Solution

The fourth proportional to 14,382.65, 19,854.20 and 9,669.67 is: 13,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.65 : 19,854.20 = 9,669.67 : x
  2. Step 2: Convert to fraction form
    14,382.65/19,854.20 = 9,669.67/x
  3. Step 3: Cross multiply
    14,382.65x = 19,854.20 × 9,669.67
  4. Step 4: Simplify right side
    14,382.65x = 191,983,495.13
  5. Step 5: Solve for x
    x = 191,983,495.13/14,382.65
  6. Step 6: Final answer
    x = 13,348.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.