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Finding the Fourth Proportional to 12,804.96, 17,670.76 and 7,139.76

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Solution

The fourth proportional to 12,804.96, 17,670.76 and 7,139.76 is: 9,852.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.96 : 17,670.76 = 7,139.76 : x
  2. Step 2: Convert to fraction form
    12,804.96/17,670.76 = 7,139.76/x
  3. Step 3: Cross multiply
    12,804.96x = 17,670.76 × 7,139.76
  4. Step 4: Simplify right side
    12,804.96x = 126,164,985.42
  5. Step 5: Solve for x
    x = 126,164,985.42/12,804.96
  6. Step 6: Final answer
    x = 9,852.82

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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.