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Finding the Fourth Proportional to 13,484.70, 18,566.53 and 11,464.13

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Solution

The fourth proportional to 13,484.70, 18,566.53 and 11,464.13 is: 15,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484.70 : 18,566.53 = 11,464.13 : x
  2. Step 2: Convert to fraction form
    13,484.70/18,566.53 = 11,464.13/x
  3. Step 3: Cross multiply
    13,484.70x = 18,566.53 × 11,464.13
  4. Step 4: Simplify right side
    13,484.70x = 212,849,131.32
  5. Step 5: Solve for x
    x = 212,849,131.32/13,484.70
  6. Step 6: Final answer
    x = 15,784.49

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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.