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Finding the Fourth Proportional to 28,235.24, 38,955.62 and 16,297

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Solution

The fourth proportional to 28,235.24, 38,955.62 and 16,297 is: 22,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,235.24 : 38,955.62 = 16,297 : x
  2. Step 2: Convert to fraction form
    28,235.24/38,955.62 = 16,297/x
  3. Step 3: Cross multiply
    28,235.24x = 38,955.62 × 16,297
  4. Step 4: Simplify right side
    28,235.24x = 634,859,739.14
  5. Step 5: Solve for x
    x = 634,859,739.14/28,235.24
  6. Step 6: Final answer
    x = 22,484.66

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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.