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Finding the Fourth Proportional to 19,853.10, 29,767.50 and 8,012.32

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Solution

The fourth proportional to 19,853.10, 29,767.50 and 8,012.32 is: 12,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.10 : 29,767.50 = 8,012.32 : x
  2. Step 2: Convert to fraction form
    19,853.10/29,767.50 = 8,012.32/x
  3. Step 3: Cross multiply
    19,853.10x = 29,767.50 × 8,012.32
  4. Step 4: Simplify right side
    19,853.10x = 238,506,661.18
  5. Step 5: Solve for x
    x = 238,506,661.18/19,853.10
  6. Step 6: Final answer
    x = 12,013.57

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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.