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Finding the Fourth Proportional to 16,291.56, 24,435.71 and 7,526.34

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Solution

The fourth proportional to 16,291.56, 24,435.71 and 7,526.34 is: 11,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.56 : 24,435.71 = 7,526.34 : x
  2. Step 2: Convert to fraction form
    16,291.56/24,435.71 = 7,526.34/x
  3. Step 3: Cross multiply
    16,291.56x = 24,435.71 × 7,526.34
  4. Step 4: Simplify right side
    16,291.56x = 183,911,461.60
  5. Step 5: Solve for x
    x = 183,911,461.60/16,291.56
  6. Step 6: Final answer
    x = 11,288.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.