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Finding the Fourth Proportional to 13,030.80, 19,513.80 and 10,438.80

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Solution

The fourth proportional to 13,030.80, 19,513.80 and 10,438.80 is: 15,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.80 : 19,513.80 = 10,438.80 : x
  2. Step 2: Convert to fraction form
    13,030.80/19,513.80 = 10,438.80/x
  3. Step 3: Cross multiply
    13,030.80x = 19,513.80 × 10,438.80
  4. Step 4: Simplify right side
    13,030.80x = 203,700,655.44
  5. Step 5: Solve for x
    x = 203,700,655.44/13,030.80
  6. Step 6: Final answer
    x = 15,632.24

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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.