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Finding the Fourth Proportional to 13,809.60, 19,034.47 and 9,771.21

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Solution

The fourth proportional to 13,809.60, 19,034.47 and 9,771.21 is: 13,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.60 : 19,034.47 = 9,771.21 : x
  2. Step 2: Convert to fraction form
    13,809.60/19,034.47 = 9,771.21/x
  3. Step 3: Cross multiply
    13,809.60x = 19,034.47 × 9,771.21
  4. Step 4: Simplify right side
    13,809.60x = 185,989,803.61
  5. Step 5: Solve for x
    x = 185,989,803.61/13,809.60
  6. Step 6: Final answer
    x = 13,468.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.