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Finding the Fourth Proportional to 13,316, 19,973.16 and 5,202.32

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Solution

The fourth proportional to 13,316, 19,973.16 and 5,202.32 is: 7,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,316 : 19,973.16 = 5,202.32 : x
  2. Step 2: Convert to fraction form
    13,316/19,973.16 = 5,202.32/x
  3. Step 3: Cross multiply
    13,316x = 19,973.16 × 5,202.32
  4. Step 4: Simplify right side
    13,316x = 103,906,769.73
  5. Step 5: Solve for x
    x = 103,906,769.73/13,316
  6. Step 6: Final answer
    x = 7,803.15

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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.