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Finding the Fourth Proportional to 23,444.64, 32,354.64 and 14,013

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Solution

The fourth proportional to 23,444.64, 32,354.64 and 14,013 is: 19,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,444.64 : 32,354.64 = 14,013 : x
  2. Step 2: Convert to fraction form
    23,444.64/32,354.64 = 14,013/x
  3. Step 3: Cross multiply
    23,444.64x = 32,354.64 × 14,013
  4. Step 4: Simplify right side
    23,444.64x = 453,385,570.32
  5. Step 5: Solve for x
    x = 453,385,570.32/23,444.64
  6. Step 6: Final answer
    x = 19,338.56

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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.