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Finding the Fourth Proportional to 12,971.76, 17,909.58 and 9,982.32

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Solution

The fourth proportional to 12,971.76, 17,909.58 and 9,982.32 is: 13,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.76 : 17,909.58 = 9,982.32 : x
  2. Step 2: Convert to fraction form
    12,971.76/17,909.58 = 9,982.32/x
  3. Step 3: Cross multiply
    12,971.76x = 17,909.58 × 9,982.32
  4. Step 4: Simplify right side
    12,971.76x = 178,779,158.63
  5. Step 5: Solve for x
    x = 178,779,158.63/12,971.76
  6. Step 6: Final answer
    x = 13,782.18

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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.