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Finding the Fourth Proportional to 12,045.64, 16,623 and 6,740.56

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Solution

The fourth proportional to 12,045.64, 16,623 and 6,740.56 is: 9,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,045.64 : 16,623 = 6,740.56 : x
  2. Step 2: Convert to fraction form
    12,045.64/16,623 = 6,740.56/x
  3. Step 3: Cross multiply
    12,045.64x = 16,623 × 6,740.56
  4. Step 4: Simplify right side
    12,045.64x = 112,048,328.88
  5. Step 5: Solve for x
    x = 112,048,328.88/12,045.64
  6. Step 6: Final answer
    x = 9,301.98

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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.