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Finding the Fourth Proportional to 23,603.71, 32,569.31 and 13,530.30

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Solution

The fourth proportional to 23,603.71, 32,569.31 and 13,530.30 is: 18,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,603.71 : 32,569.31 = 13,530.30 : x
  2. Step 2: Convert to fraction form
    23,603.71/32,569.31 = 13,530.30/x
  3. Step 3: Cross multiply
    23,603.71x = 32,569.31 × 13,530.30
  4. Step 4: Simplify right side
    23,603.71x = 440,672,467.44
  5. Step 5: Solve for x
    x = 440,672,467.44/23,603.71
  6. Step 6: Final answer
    x = 18,669.63

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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.