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Finding the Fourth Proportional to 17,804.16, 24,569.92 and 10,352

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Solution

The fourth proportional to 17,804.16, 24,569.92 and 10,352 is: 14,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,804.16 : 24,569.92 = 10,352 : x
  2. Step 2: Convert to fraction form
    17,804.16/24,569.92 = 10,352/x
  3. Step 3: Cross multiply
    17,804.16x = 24,569.92 × 10,352
  4. Step 4: Simplify right side
    17,804.16x = 254,347,811.84
  5. Step 5: Solve for x
    x = 254,347,811.84/17,804.16
  6. Step 6: Final answer
    x = 14,285.86

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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.