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Finding the Fourth Proportional to 16,354.36, 24,527.58 and 7,580.80

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Solution

The fourth proportional to 16,354.36, 24,527.58 and 7,580.80 is: 11,369.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354.36 : 24,527.58 = 7,580.80 : x
  2. Step 2: Convert to fraction form
    16,354.36/24,527.58 = 7,580.80/x
  3. Step 3: Cross multiply
    16,354.36x = 24,527.58 × 7,580.80
  4. Step 4: Simplify right side
    16,354.36x = 185,938,678.46
  5. Step 5: Solve for x
    x = 185,938,678.46/16,354.36
  6. Step 6: Final answer
    x = 11,369.36

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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.