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Finding the Fourth Proportional to 25,322.46, 37,985.54 and 8,682.35

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Solution

The fourth proportional to 25,322.46, 37,985.54 and 8,682.35 is: 13,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,322.46 : 37,985.54 = 8,682.35 : x
  2. Step 2: Convert to fraction form
    25,322.46/37,985.54 = 8,682.35/x
  3. Step 3: Cross multiply
    25,322.46x = 37,985.54 × 8,682.35
  4. Step 4: Simplify right side
    25,322.46x = 329,803,753.22
  5. Step 5: Solve for x
    x = 329,803,753.22/25,322.46
  6. Step 6: Final answer
    x = 13,024.16

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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.