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Finding the Fourth Proportional to 23,594.56, 32,556 and 14,159.68

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Solution

The fourth proportional to 23,594.56, 32,556 and 14,159.68 is: 19,537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,594.56 : 32,556 = 14,159.68 : x
  2. Step 2: Convert to fraction form
    23,594.56/32,556 = 14,159.68/x
  3. Step 3: Cross multiply
    23,594.56x = 32,556 × 14,159.68
  4. Step 4: Simplify right side
    23,594.56x = 460,982,542.08
  5. Step 5: Solve for x
    x = 460,982,542.08/23,594.56
  6. Step 6: Final answer
    x = 19,537.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.