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Finding the Fourth Proportional to 23,213, 32,034.52 and 12,602.64

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Solution

The fourth proportional to 23,213, 32,034.52 and 12,602.64 is: 17,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213 : 32,034.52 = 12,602.64 : x
  2. Step 2: Convert to fraction form
    23,213/32,034.52 = 12,602.64/x
  3. Step 3: Cross multiply
    23,213x = 32,034.52 × 12,602.64
  4. Step 4: Simplify right side
    23,213x = 403,719,523.13
  5. Step 5: Solve for x
    x = 403,719,523.13/23,213
  6. Step 6: Final answer
    x = 17,391.96

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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.