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Finding the Fourth Proportional to 16,307.34, 24,443.82 and 7,548

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Solution

The fourth proportional to 16,307.34, 24,443.82 and 7,548 is: 11,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.34 : 24,443.82 = 7,548 : x
  2. Step 2: Convert to fraction form
    16,307.34/24,443.82 = 7,548/x
  3. Step 3: Cross multiply
    16,307.34x = 24,443.82 × 7,548
  4. Step 4: Simplify right side
    16,307.34x = 184,501,953.36
  5. Step 5: Solve for x
    x = 184,501,953.36/16,307.34
  6. Step 6: Final answer
    x = 11,314.04

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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.