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Finding the Fourth Proportional to 14,402, 19,881.42 and 10,156.52

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Solution

The fourth proportional to 14,402, 19,881.42 and 10,156.52 is: 14,020.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402 : 19,881.42 = 10,156.52 : x
  2. Step 2: Convert to fraction form
    14,402/19,881.42 = 10,156.52/x
  3. Step 3: Cross multiply
    14,402x = 19,881.42 × 10,156.52
  4. Step 4: Simplify right side
    14,402x = 201,926,039.86
  5. Step 5: Solve for x
    x = 201,926,039.86/14,402
  6. Step 6: Final answer
    x = 14,020.69

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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.