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Finding the Fourth Proportional to 12,019.51, 16,586.76 and 6,642.28

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Solution

The fourth proportional to 12,019.51, 16,586.76 and 6,642.28 is: 9,166.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.51 : 16,586.76 = 6,642.28 : x
  2. Step 2: Convert to fraction form
    12,019.51/16,586.76 = 6,642.28/x
  3. Step 3: Cross multiply
    12,019.51x = 16,586.76 × 6,642.28
  4. Step 4: Simplify right side
    12,019.51x = 110,173,904.21
  5. Step 5: Solve for x
    x = 110,173,904.21/12,019.51
  6. Step 6: Final answer
    x = 9,166.26

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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.