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Finding the Fourth Proportional to 23,526.69, 32,466.69 and 12,771.78

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Solution

The fourth proportional to 23,526.69, 32,466.69 and 12,771.78 is: 17,624.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,526.69 : 32,466.69 = 12,771.78 : x
  2. Step 2: Convert to fraction form
    23,526.69/32,466.69 = 12,771.78/x
  3. Step 3: Cross multiply
    23,526.69x = 32,466.69 × 12,771.78
  4. Step 4: Simplify right side
    23,526.69x = 414,657,422.01
  5. Step 5: Solve for x
    x = 414,657,422.01/23,526.69
  6. Step 6: Final answer
    x = 17,624.98

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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.