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Finding the Fourth Proportional to 14,602.96, 20,152.08 and 8,315.32

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Solution

The fourth proportional to 14,602.96, 20,152.08 and 8,315.32 is: 11,475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.96 : 20,152.08 = 8,315.32 : x
  2. Step 2: Convert to fraction form
    14,602.96/20,152.08 = 8,315.32/x
  3. Step 3: Cross multiply
    14,602.96x = 20,152.08 × 8,315.32
  4. Step 4: Simplify right side
    14,602.96x = 167,570,993.87
  5. Step 5: Solve for x
    x = 167,570,993.87/14,602.96
  6. Step 6: Final answer
    x = 11,475.14

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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.