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Finding the Fourth Proportional to 12,705.36, 17,533.08 and 7,116.72

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Solution

The fourth proportional to 12,705.36, 17,533.08 and 7,116.72 is: 9,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.36 : 17,533.08 = 7,116.72 : x
  2. Step 2: Convert to fraction form
    12,705.36/17,533.08 = 7,116.72/x
  3. Step 3: Cross multiply
    12,705.36x = 17,533.08 × 7,116.72
  4. Step 4: Simplify right side
    12,705.36x = 124,778,021.10
  5. Step 5: Solve for x
    x = 124,778,021.10/12,705.36
  6. Step 6: Final answer
    x = 9,820.90

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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.