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Finding the Fourth Proportional to 12,988.80, 19,502.40 and 10,070.40

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Solution

The fourth proportional to 12,988.80, 19,502.40 and 10,070.40 is: 15,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,988.80 : 19,502.40 = 10,070.40 : x
  2. Step 2: Convert to fraction form
    12,988.80/19,502.40 = 10,070.40/x
  3. Step 3: Cross multiply
    12,988.80x = 19,502.40 × 10,070.40
  4. Step 4: Simplify right side
    12,988.80x = 196,396,968.96
  5. Step 5: Solve for x
    x = 196,396,968.96/12,988.80
  6. Step 6: Final answer
    x = 15,120.49

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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.