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Finding the Fourth Proportional to 12,756.34, 19,132.37 and 9,047.31

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Solution

The fourth proportional to 12,756.34, 19,132.37 and 9,047.31 is: 13,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756.34 : 19,132.37 = 9,047.31 : x
  2. Step 2: Convert to fraction form
    12,756.34/19,132.37 = 9,047.31/x
  3. Step 3: Cross multiply
    12,756.34x = 19,132.37 × 9,047.31
  4. Step 4: Simplify right side
    12,756.34x = 173,096,482.42
  5. Step 5: Solve for x
    x = 173,096,482.42/12,756.34
  6. Step 6: Final answer
    x = 13,569.45

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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.