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Finding the Fourth Proportional to 23,394.68, 32,284.12 and 12,784.37

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Solution

The fourth proportional to 23,394.68, 32,284.12 and 12,784.37 is: 17,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,394.68 : 32,284.12 = 12,784.37 : x
  2. Step 2: Convert to fraction form
    23,394.68/32,284.12 = 12,784.37/x
  3. Step 3: Cross multiply
    23,394.68x = 32,284.12 × 12,784.37
  4. Step 4: Simplify right side
    23,394.68x = 412,732,071.28
  5. Step 5: Solve for x
    x = 412,732,071.28/23,394.68
  6. Step 6: Final answer
    x = 17,642.14

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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.