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Finding the Fourth Proportional to 14,923.64, 22,390.32 and 7,133.06

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Solution

The fourth proportional to 14,923.64, 22,390.32 and 7,133.06 is: 10,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,923.64 : 22,390.32 = 7,133.06 : x
  2. Step 2: Convert to fraction form
    14,923.64/22,390.32 = 7,133.06/x
  3. Step 3: Cross multiply
    14,923.64x = 22,390.32 × 7,133.06
  4. Step 4: Simplify right side
    14,923.64x = 159,711,578.70
  5. Step 5: Solve for x
    x = 159,711,578.70/14,923.64
  6. Step 6: Final answer
    x = 10,701.92

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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.