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Finding the Fourth Proportional to 35,871.24, 53,807.12 and 12,497.60

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Solution

The fourth proportional to 35,871.24, 53,807.12 and 12,497.60 is: 18,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,871.24 : 53,807.12 = 12,497.60 : x
  2. Step 2: Convert to fraction form
    35,871.24/53,807.12 = 12,497.60/x
  3. Step 3: Cross multiply
    35,871.24x = 53,807.12 × 12,497.60
  4. Step 4: Simplify right side
    35,871.24x = 672,459,862.91
  5. Step 5: Solve for x
    x = 672,459,862.91/35,871.24
  6. Step 6: Final answer
    x = 18,746.49

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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.