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Finding the Fourth Proportional to 12,971.10, 19,425.47 and 7,407.58

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Solution

The fourth proportional to 12,971.10, 19,425.47 and 7,407.58 is: 11,093.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.10 : 19,425.47 = 7,407.58 : x
  2. Step 2: Convert to fraction form
    12,971.10/19,425.47 = 7,407.58/x
  3. Step 3: Cross multiply
    12,971.10x = 19,425.47 × 7,407.58
  4. Step 4: Simplify right side
    12,971.10x = 143,895,686.02
  5. Step 5: Solve for x
    x = 143,895,686.02/12,971.10
  6. Step 6: Final answer
    x = 11,093.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.