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Finding the Fourth Proportional to 13,130.16, 18,119.67 and 8,417.19

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Solution

The fourth proportional to 13,130.16, 18,119.67 and 8,417.19 is: 11,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.16 : 18,119.67 = 8,417.19 : x
  2. Step 2: Convert to fraction form
    13,130.16/18,119.67 = 8,417.19/x
  3. Step 3: Cross multiply
    13,130.16x = 18,119.67 × 8,417.19
  4. Step 4: Simplify right side
    13,130.16x = 152,516,705.13
  5. Step 5: Solve for x
    x = 152,516,705.13/13,130.16
  6. Step 6: Final answer
    x = 11,615.75

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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.