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Finding the Fourth Proportional to 16,152.16, 22,289.91 and 9,078.64

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Solution

The fourth proportional to 16,152.16, 22,289.91 and 9,078.64 is: 12,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,152.16 : 22,289.91 = 9,078.64 : x
  2. Step 2: Convert to fraction form
    16,152.16/22,289.91 = 9,078.64/x
  3. Step 3: Cross multiply
    16,152.16x = 22,289.91 × 9,078.64
  4. Step 4: Simplify right side
    16,152.16x = 202,362,068.52
  5. Step 5: Solve for x
    x = 202,362,068.52/16,152.16
  6. Step 6: Final answer
    x = 12,528.48

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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.