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Finding the Fourth Proportional to 28,308.16, 42,462.08 and 9,840

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Solution

The fourth proportional to 28,308.16, 42,462.08 and 9,840 is: 14,759.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,308.16 : 42,462.08 = 9,840 : x
  2. Step 2: Convert to fraction form
    28,308.16/42,462.08 = 9,840/x
  3. Step 3: Cross multiply
    28,308.16x = 42,462.08 × 9,840
  4. Step 4: Simplify right side
    28,308.16x = 417,826,867.20
  5. Step 5: Solve for x
    x = 417,826,867.20/28,308.16
  6. Step 6: Final answer
    x = 14,759.94

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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.