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Finding the Fourth Proportional to 16,538.99, 22,824.05 and 8,985.47

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Solution

The fourth proportional to 16,538.99, 22,824.05 and 8,985.47 is: 12,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.99 : 22,824.05 = 8,985.47 : x
  2. Step 2: Convert to fraction form
    16,538.99/22,824.05 = 8,985.47/x
  3. Step 3: Cross multiply
    16,538.99x = 22,824.05 × 8,985.47
  4. Step 4: Simplify right side
    16,538.99x = 205,084,657.51
  5. Step 5: Solve for x
    x = 205,084,657.51/16,538.99
  6. Step 6: Final answer
    x = 12,400.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.