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Finding the Fourth Proportional to 12,816.71, 19,224.95 and 4,051.63

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Solution

The fourth proportional to 12,816.71, 19,224.95 and 4,051.63 is: 6,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.71 : 19,224.95 = 4,051.63 : x
  2. Step 2: Convert to fraction form
    12,816.71/19,224.95 = 4,051.63/x
  3. Step 3: Cross multiply
    12,816.71x = 19,224.95 × 4,051.63
  4. Step 4: Simplify right side
    12,816.71x = 77,892,384.17
  5. Step 5: Solve for x
    x = 77,892,384.17/12,816.71
  6. Step 6: Final answer
    x = 6,077.41

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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.