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Finding the Fourth Proportional to 23,574.68, 32,533 and 13,506.38

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Solution

The fourth proportional to 23,574.68, 32,533 and 13,506.38 is: 18,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,574.68 : 32,533 = 13,506.38 : x
  2. Step 2: Convert to fraction form
    23,574.68/32,533 = 13,506.38/x
  3. Step 3: Cross multiply
    23,574.68x = 32,533 × 13,506.38
  4. Step 4: Simplify right side
    23,574.68x = 439,403,060.54
  5. Step 5: Solve for x
    x = 439,403,060.54/23,574.68
  6. Step 6: Final answer
    x = 18,638.77

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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.