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Finding the Fourth Proportional to 22,699.16, 34,048.74 and 7,118

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Solution

The fourth proportional to 22,699.16, 34,048.74 and 7,118 is: 10,677

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,699.16 : 34,048.74 = 7,118 : x
  2. Step 2: Convert to fraction form
    22,699.16/34,048.74 = 7,118/x
  3. Step 3: Cross multiply
    22,699.16x = 34,048.74 × 7,118
  4. Step 4: Simplify right side
    22,699.16x = 242,358,931.32
  5. Step 5: Solve for x
    x = 242,358,931.32/22,699.16
  6. Step 6: Final answer
    x = 10,677

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.