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Finding the Fourth Proportional to 17,823.40, 24,595.34 and 10,653.48

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Solution

The fourth proportional to 17,823.40, 24,595.34 and 10,653.48 is: 14,701.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.40 : 24,595.34 = 10,653.48 : x
  2. Step 2: Convert to fraction form
    17,823.40/24,595.34 = 10,653.48/x
  3. Step 3: Cross multiply
    17,823.40x = 24,595.34 × 10,653.48
  4. Step 4: Simplify right side
    17,823.40x = 262,025,962.78
  5. Step 5: Solve for x
    x = 262,025,962.78/17,823.40
  6. Step 6: Final answer
    x = 14,701.23

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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.