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Finding the Fourth Proportional to 11,603.52, 17,314.56 and 10,203.84

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Solution

The fourth proportional to 11,603.52, 17,314.56 and 10,203.84 is: 15,225.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.52 : 17,314.56 = 10,203.84 : x
  2. Step 2: Convert to fraction form
    11,603.52/17,314.56 = 10,203.84/x
  3. Step 3: Cross multiply
    11,603.52x = 17,314.56 × 10,203.84
  4. Step 4: Simplify right side
    11,603.52x = 176,674,999.91
  5. Step 5: Solve for x
    x = 176,674,999.91/11,603.52
  6. Step 6: Final answer
    x = 15,225.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.