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Finding the Fourth Proportional to 19,702.84, 29,559.10 and 8,015.08

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Solution

The fourth proportional to 19,702.84, 29,559.10 and 8,015.08 is: 12,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.84 : 29,559.10 = 8,015.08 : x
  2. Step 2: Convert to fraction form
    19,702.84/29,559.10 = 8,015.08/x
  3. Step 3: Cross multiply
    19,702.84x = 29,559.10 × 8,015.08
  4. Step 4: Simplify right side
    19,702.84x = 236,918,551.23
  5. Step 5: Solve for x
    x = 236,918,551.23/19,702.84
  6. Step 6: Final answer
    x = 12,024.59

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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.