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Finding the Fourth Proportional to 14,382.34, 21,564.70 and 5,607

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Solution

The fourth proportional to 14,382.34, 21,564.70 and 5,607 is: 8,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.34 : 21,564.70 = 5,607 : x
  2. Step 2: Convert to fraction form
    14,382.34/21,564.70 = 5,607/x
  3. Step 3: Cross multiply
    14,382.34x = 21,564.70 × 5,607
  4. Step 4: Simplify right side
    14,382.34x = 120,913,258.88
  5. Step 5: Solve for x
    x = 120,913,258.88/14,382.34
  6. Step 6: Final answer
    x = 8,407.07

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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.