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Finding the Fourth Proportional to 23,307.63, 32,164.74 and 13,747.74

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Solution

The fourth proportional to 23,307.63, 32,164.74 and 13,747.74 is: 18,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,307.63 : 32,164.74 = 13,747.74 : x
  2. Step 2: Convert to fraction form
    23,307.63/32,164.74 = 13,747.74/x
  3. Step 3: Cross multiply
    23,307.63x = 32,164.74 × 13,747.74
  4. Step 4: Simplify right side
    23,307.63x = 442,192,482.69
  5. Step 5: Solve for x
    x = 442,192,482.69/23,307.63
  6. Step 6: Final answer
    x = 18,972.01

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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.