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Finding the Fourth Proportional to 12,038.65, 18,042.93 and 5,797.50

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Solution

The fourth proportional to 12,038.65, 18,042.93 and 5,797.50 is: 8,689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.65 : 18,042.93 = 5,797.50 : x
  2. Step 2: Convert to fraction form
    12,038.65/18,042.93 = 5,797.50/x
  3. Step 3: Cross multiply
    12,038.65x = 18,042.93 × 5,797.50
  4. Step 4: Simplify right side
    12,038.65x = 104,603,886.68
  5. Step 5: Solve for x
    x = 104,603,886.68/12,038.65
  6. Step 6: Final answer
    x = 8,689.00

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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.