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Finding the Fourth Proportional to 13,090.66, 19,641.18 and 4,771.24

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Solution

The fourth proportional to 13,090.66, 19,641.18 and 4,771.24 is: 7,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.66 : 19,641.18 = 4,771.24 : x
  2. Step 2: Convert to fraction form
    13,090.66/19,641.18 = 4,771.24/x
  3. Step 3: Cross multiply
    13,090.66x = 19,641.18 × 4,771.24
  4. Step 4: Simplify right side
    13,090.66x = 93,712,783.66
  5. Step 5: Solve for x
    x = 93,712,783.66/13,090.66
  6. Step 6: Final answer
    x = 7,158.75

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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.