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Finding the Fourth Proportional to 13,291.90, 19,931.77 and 4,965.81

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Solution

The fourth proportional to 13,291.90, 19,931.77 and 4,965.81 is: 7,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291.90 : 19,931.77 = 4,965.81 : x
  2. Step 2: Convert to fraction form
    13,291.90/19,931.77 = 4,965.81/x
  3. Step 3: Cross multiply
    13,291.90x = 19,931.77 × 4,965.81
  4. Step 4: Simplify right side
    13,291.90x = 98,977,314.25
  5. Step 5: Solve for x
    x = 98,977,314.25/13,291.90
  6. Step 6: Final answer
    x = 7,446.44

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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.