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Finding the Fourth Proportional to 12,005.51, 16,567.47 and 6,701.63

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Solution

The fourth proportional to 12,005.51, 16,567.47 and 6,701.63 is: 9,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.51 : 16,567.47 = 6,701.63 : x
  2. Step 2: Convert to fraction form
    12,005.51/16,567.47 = 6,701.63/x
  3. Step 3: Cross multiply
    12,005.51x = 16,567.47 × 6,701.63
  4. Step 4: Simplify right side
    12,005.51x = 111,028,971.14
  5. Step 5: Solve for x
    x = 111,028,971.14/12,005.51
  6. Step 6: Final answer
    x = 9,248.17

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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.