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Finding the Fourth Proportional to 14,065.41, 19,401.12 and 9,021.65

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Solution

The fourth proportional to 14,065.41, 19,401.12 and 9,021.65 is: 12,444.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.41 : 19,401.12 = 9,021.65 : x
  2. Step 2: Convert to fraction form
    14,065.41/19,401.12 = 9,021.65/x
  3. Step 3: Cross multiply
    14,065.41x = 19,401.12 × 9,021.65
  4. Step 4: Simplify right side
    14,065.41x = 175,030,017.24
  5. Step 5: Solve for x
    x = 175,030,017.24/14,065.41
  6. Step 6: Final answer
    x = 12,444.00

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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.