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Finding the Fourth Proportional to 19,575.51, 29,363.22 and 9,721.68

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Solution

The fourth proportional to 19,575.51, 29,363.22 and 9,721.68 is: 14,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,575.51 : 29,363.22 = 9,721.68 : x
  2. Step 2: Convert to fraction form
    19,575.51/29,363.22 = 9,721.68/x
  3. Step 3: Cross multiply
    19,575.51x = 29,363.22 × 9,721.68
  4. Step 4: Simplify right side
    19,575.51x = 285,459,828.61
  5. Step 5: Solve for x
    x = 285,459,828.61/19,575.51
  6. Step 6: Final answer
    x = 14,582.50

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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.