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Finding the Fourth Proportional to 23,408, 32,303.04 and 13,477.76

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Solution

The fourth proportional to 23,408, 32,303.04 and 13,477.76 is: 18,599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,408 : 32,303.04 = 13,477.76 : x
  2. Step 2: Convert to fraction form
    23,408/32,303.04 = 13,477.76/x
  3. Step 3: Cross multiply
    23,408x = 32,303.04 × 13,477.76
  4. Step 4: Simplify right side
    23,408x = 435,372,620.39
  5. Step 5: Solve for x
    x = 435,372,620.39/23,408
  6. Step 6: Final answer
    x = 18,599.31

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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.