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Finding the Fourth Proportional to 14,081.81, 19,435.08 and 8,032.06

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Solution

The fourth proportional to 14,081.81, 19,435.08 and 8,032.06 is: 11,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,081.81 : 19,435.08 = 8,032.06 : x
  2. Step 2: Convert to fraction form
    14,081.81/19,435.08 = 8,032.06/x
  3. Step 3: Cross multiply
    14,081.81x = 19,435.08 × 8,032.06
  4. Step 4: Simplify right side
    14,081.81x = 156,103,728.66
  5. Step 5: Solve for x
    x = 156,103,728.66/14,081.81
  6. Step 6: Final answer
    x = 11,085.49

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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.