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Finding the Fourth Proportional to 15,811.63, 21,823.68 and 9,101.13

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Solution

The fourth proportional to 15,811.63, 21,823.68 and 9,101.13 is: 12,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.63 : 21,823.68 = 9,101.13 : x
  2. Step 2: Convert to fraction form
    15,811.63/21,823.68 = 9,101.13/x
  3. Step 3: Cross multiply
    15,811.63x = 21,823.68 × 9,101.13
  4. Step 4: Simplify right side
    15,811.63x = 198,620,148.76
  5. Step 5: Solve for x
    x = 198,620,148.76/15,811.63
  6. Step 6: Final answer
    x = 12,561.65

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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.