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Finding the Fourth Proportional to 14,509.65, 20,019.82 and 9,202.53

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Solution

The fourth proportional to 14,509.65, 20,019.82 and 9,202.53 is: 12,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.65 : 20,019.82 = 9,202.53 : x
  2. Step 2: Convert to fraction form
    14,509.65/20,019.82 = 9,202.53/x
  3. Step 3: Cross multiply
    14,509.65x = 20,019.82 × 9,202.53
  4. Step 4: Simplify right side
    14,509.65x = 184,232,994.14
  5. Step 5: Solve for x
    x = 184,232,994.14/14,509.65
  6. Step 6: Final answer
    x = 12,697.27

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1.5x scale

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.