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Finding the Fourth Proportional to 15,430.65, 21,294.14 and 8,357.00

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Solution

The fourth proportional to 15,430.65, 21,294.14 and 8,357.00 is: 11,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,430.65 : 21,294.14 = 8,357.00 : x
  2. Step 2: Convert to fraction form
    15,430.65/21,294.14 = 8,357.00/x
  3. Step 3: Cross multiply
    15,430.65x = 21,294.14 × 8,357.00
  4. Step 4: Simplify right side
    15,430.65x = 177,954,979.72
  5. Step 5: Solve for x
    x = 177,954,979.72/15,430.65
  6. Step 6: Final answer
    x = 11,532.57

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