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Finding the Fourth Proportional to 12,355.22, 17,033 and 10,459.28

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Solution

The fourth proportional to 12,355.22, 17,033 and 10,459.28 is: 14,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,355.22 : 17,033 = 10,459.28 : x
  2. Step 2: Convert to fraction form
    12,355.22/17,033 = 10,459.28/x
  3. Step 3: Cross multiply
    12,355.22x = 17,033 × 10,459.28
  4. Step 4: Simplify right side
    12,355.22x = 178,152,916.24
  5. Step 5: Solve for x
    x = 178,152,916.24/12,355.22
  6. Step 6: Final answer
    x = 14,419.24

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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.