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Finding the Fourth Proportional to 14,302.68, 19,740.06 and 8,713.32

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Solution

The fourth proportional to 14,302.68, 19,740.06 and 8,713.32 is: 12,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.68 : 19,740.06 = 8,713.32 : x
  2. Step 2: Convert to fraction form
    14,302.68/19,740.06 = 8,713.32/x
  3. Step 3: Cross multiply
    14,302.68x = 19,740.06 × 8,713.32
  4. Step 4: Simplify right side
    14,302.68x = 172,001,459.60
  5. Step 5: Solve for x
    x = 172,001,459.60/14,302.68
  6. Step 6: Final answer
    x = 12,025.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.