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Finding the Fourth Proportional to 12,903.71, 19,356.47 and 5,112.50

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Solution

The fourth proportional to 12,903.71, 19,356.47 and 5,112.50 is: 7,669.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,903.71 : 19,356.47 = 5,112.50 : x
  2. Step 2: Convert to fraction form
    12,903.71/19,356.47 = 5,112.50/x
  3. Step 3: Cross multiply
    12,903.71x = 19,356.47 × 5,112.50
  4. Step 4: Simplify right side
    12,903.71x = 98,959,927.31
  5. Step 5: Solve for x
    x = 98,959,927.31/12,903.71
  6. Step 6: Final answer
    x = 7,669.11

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Why These Related Problems?

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