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Finding the Fourth Proportional to 23,345.68, 35,019 and 13,023.12

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Solution

The fourth proportional to 23,345.68, 35,019 and 13,023.12 is: 19,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,345.68 : 35,019 = 13,023.12 : x
  2. Step 2: Convert to fraction form
    23,345.68/35,019 = 13,023.12/x
  3. Step 3: Cross multiply
    23,345.68x = 35,019 × 13,023.12
  4. Step 4: Simplify right side
    23,345.68x = 456,056,639.28
  5. Step 5: Solve for x
    x = 456,056,639.28/23,345.68
  6. Step 6: Final answer
    x = 19,534.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.