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Finding the Fourth Proportional to 23,264.46, 32,103.63 and 12,653.46

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Solution

The fourth proportional to 23,264.46, 32,103.63 and 12,653.46 is: 17,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264.46 : 32,103.63 = 12,653.46 : x
  2. Step 2: Convert to fraction form
    23,264.46/32,103.63 = 12,653.46/x
  3. Step 3: Cross multiply
    23,264.46x = 32,103.63 × 12,653.46
  4. Step 4: Simplify right side
    23,264.46x = 406,221,998.06
  5. Step 5: Solve for x
    x = 406,221,998.06/23,264.46
  6. Step 6: Final answer
    x = 17,461.05

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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.