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Finding the Fourth Proportional to 19,088.64, 28,612 and 9,220.96

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Solution

The fourth proportional to 19,088.64, 28,612 and 9,220.96 is: 13,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,088.64 : 28,612 = 9,220.96 : x
  2. Step 2: Convert to fraction form
    19,088.64/28,612 = 9,220.96/x
  3. Step 3: Cross multiply
    19,088.64x = 28,612 × 9,220.96
  4. Step 4: Simplify right side
    19,088.64x = 263,830,107.52
  5. Step 5: Solve for x
    x = 263,830,107.52/19,088.64
  6. Step 6: Final answer
    x = 13,821.32

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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.