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Finding the Fourth Proportional to 23,465, 32,381.70 and 12,854.68

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Solution

The fourth proportional to 23,465, 32,381.70 and 12,854.68 is: 17,739.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,465 : 32,381.70 = 12,854.68 : x
  2. Step 2: Convert to fraction form
    23,465/32,381.70 = 12,854.68/x
  3. Step 3: Cross multiply
    23,465x = 32,381.70 × 12,854.68
  4. Step 4: Simplify right side
    23,465x = 416,256,391.36
  5. Step 5: Solve for x
    x = 416,256,391.36/23,465
  6. Step 6: Final answer
    x = 17,739.46

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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.