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Finding the Fourth Proportional to 14,217.48, 21,328.74 and 6,835.32

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Solution

The fourth proportional to 14,217.48, 21,328.74 and 6,835.32 is: 10,254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,217.48 : 21,328.74 = 6,835.32 : x
  2. Step 2: Convert to fraction form
    14,217.48/21,328.74 = 6,835.32/x
  3. Step 3: Cross multiply
    14,217.48x = 21,328.74 × 6,835.32
  4. Step 4: Simplify right side
    14,217.48x = 145,788,763.10
  5. Step 5: Solve for x
    x = 145,788,763.10/14,217.48
  6. Step 6: Final answer
    x = 10,254.19

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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.