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Finding the Fourth Proportional to 28,430.84, 42,646.54 and 10,896.50

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Solution

The fourth proportional to 28,430.84, 42,646.54 and 10,896.50 is: 16,344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,430.84 : 42,646.54 = 10,896.50 : x
  2. Step 2: Convert to fraction form
    28,430.84/42,646.54 = 10,896.50/x
  3. Step 3: Cross multiply
    28,430.84x = 42,646.54 × 10,896.50
  4. Step 4: Simplify right side
    28,430.84x = 464,698,023.11
  5. Step 5: Solve for x
    x = 464,698,023.11/28,430.84
  6. Step 6: Final answer
    x = 16,344.86

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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.