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Finding the Fourth Proportional to 36,317.76, 54,464.64 and 11,688

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Solution

The fourth proportional to 36,317.76, 54,464.64 and 11,688 is: 17,528.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,317.76 : 54,464.64 = 11,688 : x
  2. Step 2: Convert to fraction form
    36,317.76/54,464.64 = 11,688/x
  3. Step 3: Cross multiply
    36,317.76x = 54,464.64 × 11,688
  4. Step 4: Simplify right side
    36,317.76x = 636,582,712.32
  5. Step 5: Solve for x
    x = 636,582,712.32/36,317.76
  6. Step 6: Final answer
    x = 17,528.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.