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Finding the Fourth Proportional to 25,254, 37,885.86 and 11,403

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Solution

The fourth proportional to 25,254, 37,885.86 and 11,403 is: 17,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,254 : 37,885.86 = 11,403 : x
  2. Step 2: Convert to fraction form
    25,254/37,885.86 = 11,403/x
  3. Step 3: Cross multiply
    25,254x = 37,885.86 × 11,403
  4. Step 4: Simplify right side
    25,254x = 432,012,461.58
  5. Step 5: Solve for x
    x = 432,012,461.58/25,254
  6. Step 6: Final answer
    x = 17,106.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.