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Finding the Fourth Proportional to 15,823.76, 21,835.92 and 9,457.58

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Solution

The fourth proportional to 15,823.76, 21,835.92 and 9,457.58 is: 13,050.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.76 : 21,835.92 = 9,457.58 : x
  2. Step 2: Convert to fraction form
    15,823.76/21,835.92 = 9,457.58/x
  3. Step 3: Cross multiply
    15,823.76x = 21,835.92 × 9,457.58
  4. Step 4: Simplify right side
    15,823.76x = 206,514,960.27
  5. Step 5: Solve for x
    x = 206,514,960.27/15,823.76
  6. Step 6: Final answer
    x = 13,050.94

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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.