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Finding the Fourth Proportional to 28,430.36, 42,645.80 and 10,896

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Solution

The fourth proportional to 28,430.36, 42,645.80 and 10,896 is: 16,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,430.36 : 42,645.80 = 10,896 : x
  2. Step 2: Convert to fraction form
    28,430.36/42,645.80 = 10,896/x
  3. Step 3: Cross multiply
    28,430.36x = 42,645.80 × 10,896
  4. Step 4: Simplify right side
    28,430.36x = 464,668,636.80
  5. Step 5: Solve for x
    x = 464,668,636.80/28,430.36
  6. Step 6: Final answer
    x = 16,344.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.