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Finding the Fourth Proportional to 14,950.95, 20,642.25 and 9,294.15

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Solution

The fourth proportional to 14,950.95, 20,642.25 and 9,294.15 is: 12,832.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,950.95 : 20,642.25 = 9,294.15 : x
  2. Step 2: Convert to fraction form
    14,950.95/20,642.25 = 9,294.15/x
  3. Step 3: Cross multiply
    14,950.95x = 20,642.25 × 9,294.15
  4. Step 4: Simplify right side
    14,950.95x = 191,852,167.84
  5. Step 5: Solve for x
    x = 191,852,167.84/14,950.95
  6. Step 6: Final answer
    x = 12,832.11

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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.