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Finding the Fourth Proportional to 24,208.35, 36,307.50 and 9,416.94

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Solution

The fourth proportional to 24,208.35, 36,307.50 and 9,416.94 is: 14,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,208.35 : 36,307.50 = 9,416.94 : x
  2. Step 2: Convert to fraction form
    24,208.35/36,307.50 = 9,416.94/x
  3. Step 3: Cross multiply
    24,208.35x = 36,307.50 × 9,416.94
  4. Step 4: Simplify right side
    24,208.35x = 341,905,549.05
  5. Step 5: Solve for x
    x = 341,905,549.05/24,208.35
  6. Step 6: Final answer
    x = 14,123.46

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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.