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Finding the Fourth Proportional to 27,430.32, 41,053.32 and 15,726

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Solution

The fourth proportional to 27,430.32, 41,053.32 and 15,726 is: 23,536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,430.32 : 41,053.32 = 15,726 : x
  2. Step 2: Convert to fraction form
    27,430.32/41,053.32 = 15,726/x
  3. Step 3: Cross multiply
    27,430.32x = 41,053.32 × 15,726
  4. Step 4: Simplify right side
    27,430.32x = 645,604,510.32
  5. Step 5: Solve for x
    x = 645,604,510.32/27,430.32
  6. Step 6: Final answer
    x = 23,536.16

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