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Finding the Fourth Proportional to 13,248, 19,871.94 and 10,328.46

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Solution

The fourth proportional to 13,248, 19,871.94 and 10,328.46 is: 15,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,248 : 19,871.94 = 10,328.46 : x
  2. Step 2: Convert to fraction form
    13,248/19,871.94 = 10,328.46/x
  3. Step 3: Cross multiply
    13,248x = 19,871.94 × 10,328.46
  4. Step 4: Simplify right side
    13,248x = 205,246,537.41
  5. Step 5: Solve for x
    x = 205,246,537.41/13,248
  6. Step 6: Final answer
    x = 15,492.64

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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.