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Finding the Fourth Proportional to 20,335.98, 30,501.81 and 9,802.74

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Solution

The fourth proportional to 20,335.98, 30,501.81 and 9,802.74 is: 14,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,335.98 : 30,501.81 = 9,802.74 : x
  2. Step 2: Convert to fraction form
    20,335.98/30,501.81 = 9,802.74/x
  3. Step 3: Cross multiply
    20,335.98x = 30,501.81 × 9,802.74
  4. Step 4: Simplify right side
    20,335.98x = 299,001,312.96
  5. Step 5: Solve for x
    x = 299,001,312.96/20,335.98
  6. Step 6: Final answer
    x = 14,703.07

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