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Finding the Fourth Proportional to 14,928.60, 22,397.74 and 7,138

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Solution

The fourth proportional to 14,928.60, 22,397.74 and 7,138 is: 10,709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,928.60 : 22,397.74 = 7,138 : x
  2. Step 2: Convert to fraction form
    14,928.60/22,397.74 = 7,138/x
  3. Step 3: Cross multiply
    14,928.60x = 22,397.74 × 7,138
  4. Step 4: Simplify right side
    14,928.60x = 159,875,068.12
  5. Step 5: Solve for x
    x = 159,875,068.12/14,928.60
  6. Step 6: Final answer
    x = 10,709.31

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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.