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Finding the Fourth Proportional to 14,287.36, 21,437.60 and 7,358.08

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Solution

The fourth proportional to 14,287.36, 21,437.60 and 7,358.08 is: 11,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.36 : 21,437.60 = 7,358.08 : x
  2. Step 2: Convert to fraction form
    14,287.36/21,437.60 = 7,358.08/x
  3. Step 3: Cross multiply
    14,287.36x = 21,437.60 × 7,358.08
  4. Step 4: Simplify right side
    14,287.36x = 157,739,575.81
  5. Step 5: Solve for x
    x = 157,739,575.81/14,287.36
  6. Step 6: Final answer
    x = 11,040.50

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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.