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Finding the Fourth Proportional to 14,133.84, 19,523.07 and 10,756.14

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Solution

The fourth proportional to 14,133.84, 19,523.07 and 10,756.14 is: 14,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,133.84 : 19,523.07 = 10,756.14 : x
  2. Step 2: Convert to fraction form
    14,133.84/19,523.07 = 10,756.14/x
  3. Step 3: Cross multiply
    14,133.84x = 19,523.07 × 10,756.14
  4. Step 4: Simplify right side
    14,133.84x = 209,992,874.15
  5. Step 5: Solve for x
    x = 209,992,874.15/14,133.84
  6. Step 6: Final answer
    x = 14,857.45

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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.