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Finding the Fourth Proportional to 16,477.34, 24,708.44 and 7,112.88

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Solution

The fourth proportional to 16,477.34, 24,708.44 and 7,112.88 is: 10,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.34 : 24,708.44 = 7,112.88 : x
  2. Step 2: Convert to fraction form
    16,477.34/24,708.44 = 7,112.88/x
  3. Step 3: Cross multiply
    16,477.34x = 24,708.44 × 7,112.88
  4. Step 4: Simplify right side
    16,477.34x = 175,748,168.71
  5. Step 5: Solve for x
    x = 175,748,168.71/16,477.34
  6. Step 6: Final answer
    x = 10,666.05

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1.5x scale

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.