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Finding the Fourth Proportional to 19,602.16, 29,374.54 and 9,721.71

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Solution

The fourth proportional to 19,602.16, 29,374.54 and 9,721.71 is: 14,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,602.16 : 29,374.54 = 9,721.71 : x
  2. Step 2: Convert to fraction form
    19,602.16/29,374.54 = 9,721.71/x
  3. Step 3: Cross multiply
    19,602.16x = 29,374.54 × 9,721.71
  4. Step 4: Simplify right side
    19,602.16x = 285,570,661.52
  5. Step 5: Solve for x
    x = 285,570,661.52/19,602.16
  6. Step 6: Final answer
    x = 14,568.32

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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.