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Finding the Fourth Proportional to 23,603.15, 32,572.58 and 12,993

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Solution

The fourth proportional to 23,603.15, 32,572.58 and 12,993 is: 17,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,603.15 : 32,572.58 = 12,993 : x
  2. Step 2: Convert to fraction form
    23,603.15/32,572.58 = 12,993/x
  3. Step 3: Cross multiply
    23,603.15x = 32,572.58 × 12,993
  4. Step 4: Simplify right side
    23,603.15x = 423,215,531.94
  5. Step 5: Solve for x
    x = 423,215,531.94/23,603.15
  6. Step 6: Final answer
    x = 17,930.47

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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.