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Finding the Fourth Proportional to 15,740.96, 23,611.44 and 9,572

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Solution

The fourth proportional to 15,740.96, 23,611.44 and 9,572 is: 14,358

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740.96 : 23,611.44 = 9,572 : x
  2. Step 2: Convert to fraction form
    15,740.96/23,611.44 = 9,572/x
  3. Step 3: Cross multiply
    15,740.96x = 23,611.44 × 9,572
  4. Step 4: Simplify right side
    15,740.96x = 226,008,703.68
  5. Step 5: Solve for x
    x = 226,008,703.68/15,740.96
  6. Step 6: Final answer
    x = 14,358

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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.