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Finding the Fourth Proportional to 15,430.96, 21,294.70 and 8,357.38

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Solution

The fourth proportional to 15,430.96, 21,294.70 and 8,357.38 is: 11,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,430.96 : 21,294.70 = 8,357.38 : x
  2. Step 2: Convert to fraction form
    15,430.96/21,294.70 = 8,357.38/x
  3. Step 3: Cross multiply
    15,430.96x = 21,294.70 × 8,357.38
  4. Step 4: Simplify right side
    15,430.96x = 177,967,825.76
  5. Step 5: Solve for x
    x = 177,967,825.76/15,430.96
  6. Step 6: Final answer
    x = 11,533.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.