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Finding the Fourth Proportional to 14,837, 20,475.08 and 9,248

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Solution

The fourth proportional to 14,837, 20,475.08 and 9,248 is: 12,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,837 : 20,475.08 = 9,248 : x
  2. Step 2: Convert to fraction form
    14,837/20,475.08 = 9,248/x
  3. Step 3: Cross multiply
    14,837x = 20,475.08 × 9,248
  4. Step 4: Simplify right side
    14,837x = 189,353,539.84
  5. Step 5: Solve for x
    x = 189,353,539.84/14,837
  6. Step 6: Final answer
    x = 12,762.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.