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Finding the Fourth Proportional to 24,603.12, 36,886.88 and 9,597.53

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Solution

The fourth proportional to 24,603.12, 36,886.88 and 9,597.53 is: 14,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,603.12 : 36,886.88 = 9,597.53 : x
  2. Step 2: Convert to fraction form
    24,603.12/36,886.88 = 9,597.53/x
  3. Step 3: Cross multiply
    24,603.12x = 36,886.88 × 9,597.53
  4. Step 4: Simplify right side
    24,603.12x = 354,022,704.98
  5. Step 5: Solve for x
    x = 354,022,704.98/24,603.12
  6. Step 6: Final answer
    x = 14,389.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.