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Finding the Fourth Proportional to 13,254.81, 19,875.86 and 7,709.64

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Solution

The fourth proportional to 13,254.81, 19,875.86 and 7,709.64 is: 11,560.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254.81 : 19,875.86 = 7,709.64 : x
  2. Step 2: Convert to fraction form
    13,254.81/19,875.86 = 7,709.64/x
  3. Step 3: Cross multiply
    13,254.81x = 19,875.86 × 7,709.64
  4. Step 4: Simplify right side
    13,254.81x = 153,235,725.29
  5. Step 5: Solve for x
    x = 153,235,725.29/13,254.81
  6. Step 6: Final answer
    x = 11,560.76

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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.