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Finding the Fourth Proportional to 17,405.84, 24,011.16 and 11,111.60

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Solution

The fourth proportional to 17,405.84, 24,011.16 and 11,111.60 is: 15,328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,405.84 : 24,011.16 = 11,111.60 : x
  2. Step 2: Convert to fraction form
    17,405.84/24,011.16 = 11,111.60/x
  3. Step 3: Cross multiply
    17,405.84x = 24,011.16 × 11,111.60
  4. Step 4: Simplify right side
    17,405.84x = 266,802,405.46
  5. Step 5: Solve for x
    x = 266,802,405.46/17,405.84
  6. Step 6: Final answer
    x = 15,328.33

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Why These Related Problems?

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