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Finding the Fourth Proportional to 11,523.04, 15,888.72 and 10,017.76

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Solution

The fourth proportional to 11,523.04, 15,888.72 and 10,017.76 is: 13,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.04 : 15,888.72 = 10,017.76 : x
  2. Step 2: Convert to fraction form
    11,523.04/15,888.72 = 10,017.76/x
  3. Step 3: Cross multiply
    11,523.04x = 15,888.72 × 10,017.76
  4. Step 4: Simplify right side
    11,523.04x = 159,169,383.67
  5. Step 5: Solve for x
    x = 159,169,383.67/11,523.04
  6. Step 6: Final answer
    x = 13,813.14

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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.