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Finding the Fourth Proportional to 14,097.51, 19,454.67 and 8,129.16

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Solution

The fourth proportional to 14,097.51, 19,454.67 and 8,129.16 is: 11,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.51 : 19,454.67 = 8,129.16 : x
  2. Step 2: Convert to fraction form
    14,097.51/19,454.67 = 8,129.16/x
  3. Step 3: Cross multiply
    14,097.51x = 19,454.67 × 8,129.16
  4. Step 4: Simplify right side
    14,097.51x = 158,150,125.18
  5. Step 5: Solve for x
    x = 158,150,125.18/14,097.51
  6. Step 6: Final answer
    x = 11,218.30

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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.