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Finding the Fourth Proportional to 14,141.07, 19,516.21 and 9,041.21

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Solution

The fourth proportional to 14,141.07, 19,516.21 and 9,041.21 is: 12,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.07 : 19,516.21 = 9,041.21 : x
  2. Step 2: Convert to fraction form
    14,141.07/19,516.21 = 9,041.21/x
  3. Step 3: Cross multiply
    14,141.07x = 19,516.21 × 9,041.21
  4. Step 4: Simplify right side
    14,141.07x = 176,450,106.02
  5. Step 5: Solve for x
    x = 176,450,106.02/14,141.07
  6. Step 6: Final answer
    x = 12,477.85

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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.