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Finding the Fourth Proportional to 22,886.65, 34,297.16 and 13,005.05

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Solution

The fourth proportional to 22,886.65, 34,297.16 and 13,005.05 is: 19,488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,886.65 : 34,297.16 = 13,005.05 : x
  2. Step 2: Convert to fraction form
    22,886.65/34,297.16 = 13,005.05/x
  3. Step 3: Cross multiply
    22,886.65x = 34,297.16 × 13,005.05
  4. Step 4: Simplify right side
    22,886.65x = 446,036,280.66
  5. Step 5: Solve for x
    x = 446,036,280.66/22,886.65
  6. Step 6: Final answer
    x = 19,488.93

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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.