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Finding the Fourth Proportional to 13,412.16, 18,502.80 and 8,031.60

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Solution

The fourth proportional to 13,412.16, 18,502.80 and 8,031.60 is: 11,080.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.16 : 18,502.80 = 8,031.60 : x
  2. Step 2: Convert to fraction form
    13,412.16/18,502.80 = 8,031.60/x
  3. Step 3: Cross multiply
    13,412.16x = 18,502.80 × 8,031.60
  4. Step 4: Simplify right side
    13,412.16x = 148,607,088.48
  5. Step 5: Solve for x
    x = 148,607,088.48/13,412.16
  6. Step 6: Final answer
    x = 11,080.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.