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Finding the Fourth Proportional to 12,159, 16,779.42 and 6,570

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Solution

The fourth proportional to 12,159, 16,779.42 and 6,570 is: 9,066.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159 : 16,779.42 = 6,570 : x
  2. Step 2: Convert to fraction form
    12,159/16,779.42 = 6,570/x
  3. Step 3: Cross multiply
    12,159x = 16,779.42 × 6,570
  4. Step 4: Simplify right side
    12,159x = 110,240,789.40
  5. Step 5: Solve for x
    x = 110,240,789.40/12,159
  6. Step 6: Final answer
    x = 9,066.60

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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.