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Finding the Fourth Proportional to 24,307.17, 36,457.44 and 9,526.42

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Solution

The fourth proportional to 24,307.17, 36,457.44 and 9,526.42 is: 14,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,307.17 : 36,457.44 = 9,526.42 : x
  2. Step 2: Convert to fraction form
    24,307.17/36,457.44 = 9,526.42/x
  3. Step 3: Cross multiply
    24,307.17x = 36,457.44 × 9,526.42
  4. Step 4: Simplify right side
    24,307.17x = 347,308,885.56
  5. Step 5: Solve for x
    x = 347,308,885.56/24,307.17
  6. Step 6: Final answer
    x = 14,288.33

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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.