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Finding the Fourth Proportional to 19,649.47, 29,478.66 and 6,501.82

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Solution

The fourth proportional to 19,649.47, 29,478.66 and 6,501.82 is: 9,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649.47 : 29,478.66 = 6,501.82 : x
  2. Step 2: Convert to fraction form
    19,649.47/29,478.66 = 6,501.82/x
  3. Step 3: Cross multiply
    19,649.47x = 29,478.66 × 6,501.82
  4. Step 4: Simplify right side
    19,649.47x = 191,664,941.16
  5. Step 5: Solve for x
    x = 191,664,941.16/19,649.47
  6. Step 6: Final answer
    x = 9,754.20

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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.