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Finding the Fourth Proportional to 12,389.59, 17,086.21 and 8,416.63

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Solution

The fourth proportional to 12,389.59, 17,086.21 and 8,416.63 is: 11,607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,389.59 : 17,086.21 = 8,416.63 : x
  2. Step 2: Convert to fraction form
    12,389.59/17,086.21 = 8,416.63/x
  3. Step 3: Cross multiply
    12,389.59x = 17,086.21 × 8,416.63
  4. Step 4: Simplify right side
    12,389.59x = 143,808,307.67
  5. Step 5: Solve for x
    x = 143,808,307.67/12,389.59
  6. Step 6: Final answer
    x = 11,607.19

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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.