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Finding the Fourth Proportional to 13,066.13, 18,038.74 and 8,602.86

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Solution

The fourth proportional to 13,066.13, 18,038.74 and 8,602.86 is: 11,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.13 : 18,038.74 = 8,602.86 : x
  2. Step 2: Convert to fraction form
    13,066.13/18,038.74 = 8,602.86/x
  3. Step 3: Cross multiply
    13,066.13x = 18,038.74 × 8,602.86
  4. Step 4: Simplify right side
    13,066.13x = 155,184,621.59
  5. Step 5: Solve for x
    x = 155,184,621.59/13,066.13
  6. Step 6: Final answer
    x = 11,876.87

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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.