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Finding the Fourth Proportional to 13,328.63, 20,005.91 and 6,407.99

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Solution

The fourth proportional to 13,328.63, 20,005.91 and 6,407.99 is: 9,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,328.63 : 20,005.91 = 6,407.99 : x
  2. Step 2: Convert to fraction form
    13,328.63/20,005.91 = 6,407.99/x
  3. Step 3: Cross multiply
    13,328.63x = 20,005.91 × 6,407.99
  4. Step 4: Simplify right side
    13,328.63x = 128,197,639.18
  5. Step 5: Solve for x
    x = 128,197,639.18/13,328.63
  6. Step 6: Final answer
    x = 9,618.22

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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.