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Finding the Fourth Proportional to 25,196.64, 37,762.08 and 10,388.64

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Solution

The fourth proportional to 25,196.64, 37,762.08 and 10,388.64 is: 15,569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,196.64 : 37,762.08 = 10,388.64 : x
  2. Step 2: Convert to fraction form
    25,196.64/37,762.08 = 10,388.64/x
  3. Step 3: Cross multiply
    25,196.64x = 37,762.08 × 10,388.64
  4. Step 4: Simplify right side
    25,196.64x = 392,296,654.77
  5. Step 5: Solve for x
    x = 392,296,654.77/25,196.64
  6. Step 6: Final answer
    x = 15,569.40

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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.