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Finding the Fourth Proportional to 14,317.75, 19,758.51 and 8,030.13

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Solution

The fourth proportional to 14,317.75, 19,758.51 and 8,030.13 is: 11,081.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,317.75 : 19,758.51 = 8,030.13 : x
  2. Step 2: Convert to fraction form
    14,317.75/19,758.51 = 8,030.13/x
  3. Step 3: Cross multiply
    14,317.75x = 19,758.51 × 8,030.13
  4. Step 4: Simplify right side
    14,317.75x = 158,663,403.91
  5. Step 5: Solve for x
    x = 158,663,403.91/14,317.75
  6. Step 6: Final answer
    x = 11,081.59

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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.