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Finding the Fourth Proportional to 18,590.14, 27,886.74 and 5,263.16

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Solution

The fourth proportional to 18,590.14, 27,886.74 and 5,263.16 is: 7,895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,590.14 : 27,886.74 = 5,263.16 : x
  2. Step 2: Convert to fraction form
    18,590.14/27,886.74 = 5,263.16/x
  3. Step 3: Cross multiply
    18,590.14x = 27,886.74 × 5,263.16
  4. Step 4: Simplify right side
    18,590.14x = 146,772,374.50
  5. Step 5: Solve for x
    x = 146,772,374.50/18,590.14
  6. Step 6: Final answer
    x = 7,895.17

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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.