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Finding the Fourth Proportional to 19,975.72, 29,963.64 and 6,124.72

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Solution

The fourth proportional to 19,975.72, 29,963.64 and 6,124.72 is: 9,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,975.72 : 29,963.64 = 6,124.72 : x
  2. Step 2: Convert to fraction form
    19,975.72/29,963.64 = 6,124.72/x
  3. Step 3: Cross multiply
    19,975.72x = 29,963.64 × 6,124.72
  4. Step 4: Simplify right side
    19,975.72x = 183,518,905.18
  5. Step 5: Solve for x
    x = 183,518,905.18/19,975.72
  6. Step 6: Final answer
    x = 9,187.10

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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.