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Finding the Fourth Proportional to 12,003.90, 18,005.93 and 7,870.06

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Solution

The fourth proportional to 12,003.90, 18,005.93 and 7,870.06 is: 11,805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.90 : 18,005.93 = 7,870.06 : x
  2. Step 2: Convert to fraction form
    12,003.90/18,005.93 = 7,870.06/x
  3. Step 3: Cross multiply
    12,003.90x = 18,005.93 × 7,870.06
  4. Step 4: Simplify right side
    12,003.90x = 141,707,762.13
  5. Step 5: Solve for x
    x = 141,707,762.13/12,003.90
  6. Step 6: Final answer
    x = 11,805.15

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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.