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Finding the Fourth Proportional to 19,787.60, 29,678.16 and 7,313.47

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Solution

The fourth proportional to 19,787.60, 29,678.16 and 7,313.47 is: 10,969.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,787.60 : 29,678.16 = 7,313.47 : x
  2. Step 2: Convert to fraction form
    19,787.60/29,678.16 = 7,313.47/x
  3. Step 3: Cross multiply
    19,787.60x = 29,678.16 × 7,313.47
  4. Step 4: Simplify right side
    19,787.60x = 217,050,332.82
  5. Step 5: Solve for x
    x = 217,050,332.82/19,787.60
  6. Step 6: Final answer
    x = 10,969.01

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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.