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Finding the Fourth Proportional to 19,141.63, 28,710.16 and 5,102.71

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Solution

The fourth proportional to 19,141.63, 28,710.16 and 5,102.71 is: 7,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,141.63 : 28,710.16 = 5,102.71 : x
  2. Step 2: Convert to fraction form
    19,141.63/28,710.16 = 5,102.71/x
  3. Step 3: Cross multiply
    19,141.63x = 28,710.16 × 5,102.71
  4. Step 4: Simplify right side
    19,141.63x = 146,499,536.00
  5. Step 5: Solve for x
    x = 146,499,536.00/19,141.63
  6. Step 6: Final answer
    x = 7,653.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.