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Finding the Fourth Proportional to 12,026.50, 16,590.78 and 7,548.04

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Solution

The fourth proportional to 12,026.50, 16,590.78 and 7,548.04 is: 10,412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.50 : 16,590.78 = 7,548.04 : x
  2. Step 2: Convert to fraction form
    12,026.50/16,590.78 = 7,548.04/x
  3. Step 3: Cross multiply
    12,026.50x = 16,590.78 × 7,548.04
  4. Step 4: Simplify right side
    12,026.50x = 125,227,871.07
  5. Step 5: Solve for x
    x = 125,227,871.07/12,026.50
  6. Step 6: Final answer
    x = 10,412.66

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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.