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Finding the Fourth Proportional to 12,707.34, 19,056.27 and 5,312.31

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Solution

The fourth proportional to 12,707.34, 19,056.27 and 5,312.31 is: 7,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.34 : 19,056.27 = 5,312.31 : x
  2. Step 2: Convert to fraction form
    12,707.34/19,056.27 = 5,312.31/x
  3. Step 3: Cross multiply
    12,707.34x = 19,056.27 × 5,312.31
  4. Step 4: Simplify right side
    12,707.34x = 101,232,813.68
  5. Step 5: Solve for x
    x = 101,232,813.68/12,707.34
  6. Step 6: Final answer
    x = 7,966.48

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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.