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Finding the Fourth Proportional to 19,577.40, 29,366.12 and 9,189.16

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Solution

The fourth proportional to 19,577.40, 29,366.12 and 9,189.16 is: 13,783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,577.40 : 29,366.12 = 9,189.16 : x
  2. Step 2: Convert to fraction form
    19,577.40/29,366.12 = 9,189.16/x
  3. Step 3: Cross multiply
    19,577.40x = 29,366.12 × 9,189.16
  4. Step 4: Simplify right side
    19,577.40x = 269,849,975.26
  5. Step 5: Solve for x
    x = 269,849,975.26/19,577.40
  6. Step 6: Final answer
    x = 13,783.75

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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.