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Finding the Fourth Proportional to 12,038.12, 18,061.50 and 7,415.72

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Solution

The fourth proportional to 12,038.12, 18,061.50 and 7,415.72 is: 11,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.12 : 18,061.50 = 7,415.72 : x
  2. Step 2: Convert to fraction form
    12,038.12/18,061.50 = 7,415.72/x
  3. Step 3: Cross multiply
    12,038.12x = 18,061.50 × 7,415.72
  4. Step 4: Simplify right side
    12,038.12x = 133,939,026.78
  5. Step 5: Solve for x
    x = 133,939,026.78/12,038.12
  6. Step 6: Final answer
    x = 11,126.24

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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.