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Finding the Fourth Proportional to 19,637.61, 29,437.36 and 7,787.50

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Solution

The fourth proportional to 19,637.61, 29,437.36 and 7,787.50 is: 11,673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,637.61 : 29,437.36 = 7,787.50 : x
  2. Step 2: Convert to fraction form
    19,637.61/29,437.36 = 7,787.50/x
  3. Step 3: Cross multiply
    19,637.61x = 29,437.36 × 7,787.50
  4. Step 4: Simplify right side
    19,637.61x = 229,243,441
  5. Step 5: Solve for x
    x = 229,243,441/19,637.61
  6. Step 6: Final answer
    x = 11,673.69

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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.