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Finding the Fourth Proportional to 16,152.96, 22,292.40 and 9,349.28

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Solution

The fourth proportional to 16,152.96, 22,292.40 and 9,349.28 is: 12,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,152.96 : 22,292.40 = 9,349.28 : x
  2. Step 2: Convert to fraction form
    16,152.96/22,292.40 = 9,349.28/x
  3. Step 3: Cross multiply
    16,152.96x = 22,292.40 × 9,349.28
  4. Step 4: Simplify right side
    16,152.96x = 208,417,889.47
  5. Step 5: Solve for x
    x = 208,417,889.47/16,152.96
  6. Step 6: Final answer
    x = 12,902.77

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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.