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Finding the Fourth Proportional to 28,416.50, 42,615.51 and 13,421.30

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Solution

The fourth proportional to 28,416.50, 42,615.51 and 13,421.30 is: 20,127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,416.50 : 42,615.51 = 13,421.30 : x
  2. Step 2: Convert to fraction form
    28,416.50/42,615.51 = 13,421.30/x
  3. Step 3: Cross multiply
    28,416.50x = 42,615.51 × 13,421.30
  4. Step 4: Simplify right side
    28,416.50x = 571,955,331.29
  5. Step 5: Solve for x
    x = 571,955,331.29/28,416.50
  6. Step 6: Final answer
    x = 20,127.58

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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.