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Finding the Fourth Proportional to 14,416.48, 21,624.88 and 5,056.08

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Solution

The fourth proportional to 14,416.48, 21,624.88 and 5,056.08 is: 7,584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.48 : 21,624.88 = 5,056.08 : x
  2. Step 2: Convert to fraction form
    14,416.48/21,624.88 = 5,056.08/x
  3. Step 3: Cross multiply
    14,416.48x = 21,624.88 × 5,056.08
  4. Step 4: Simplify right side
    14,416.48x = 109,337,123.27
  5. Step 5: Solve for x
    x = 109,337,123.27/14,416.48
  6. Step 6: Final answer
    x = 7,584.18

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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.