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Finding the Fourth Proportional to 13,139.66, 18,129.45 and 8,430.32

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Solution

The fourth proportional to 13,139.66, 18,129.45 and 8,430.32 is: 11,631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,139.66 : 18,129.45 = 8,430.32 : x
  2. Step 2: Convert to fraction form
    13,139.66/18,129.45 = 8,430.32/x
  3. Step 3: Cross multiply
    13,139.66x = 18,129.45 × 8,430.32
  4. Step 4: Simplify right side
    13,139.66x = 152,837,064.92
  5. Step 5: Solve for x
    x = 152,837,064.92/13,139.66
  6. Step 6: Final answer
    x = 11,631.74

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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.