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Finding the Fourth Proportional to 12,357.60, 18,536.76 and 5,330.40

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Solution

The fourth proportional to 12,357.60, 18,536.76 and 5,330.40 is: 7,995.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.60 : 18,536.76 = 5,330.40 : x
  2. Step 2: Convert to fraction form
    12,357.60/18,536.76 = 5,330.40/x
  3. Step 3: Cross multiply
    12,357.60x = 18,536.76 × 5,330.40
  4. Step 4: Simplify right side
    12,357.60x = 98,808,345.50
  5. Step 5: Solve for x
    x = 98,808,345.50/12,357.60
  6. Step 6: Final answer
    x = 7,995.76

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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.