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Finding the Fourth Proportional to 13,814.46, 19,061.01 and 9,041.40

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Solution

The fourth proportional to 13,814.46, 19,061.01 and 9,041.40 is: 12,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.46 : 19,061.01 = 9,041.40 : x
  2. Step 2: Convert to fraction form
    13,814.46/19,061.01 = 9,041.40/x
  3. Step 3: Cross multiply
    13,814.46x = 19,061.01 × 9,041.40
  4. Step 4: Simplify right side
    13,814.46x = 172,338,215.81
  5. Step 5: Solve for x
    x = 172,338,215.81/13,814.46
  6. Step 6: Final answer
    x = 12,475.20

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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.