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Finding the Fourth Proportional to 27,430.26, 37,853.80 and 14,855

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Solution

The fourth proportional to 27,430.26, 37,853.80 and 14,855 is: 20,499.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,430.26 : 37,853.80 = 14,855 : x
  2. Step 2: Convert to fraction form
    27,430.26/37,853.80 = 14,855/x
  3. Step 3: Cross multiply
    27,430.26x = 37,853.80 × 14,855
  4. Step 4: Simplify right side
    27,430.26x = 562,318,199
  5. Step 5: Solve for x
    x = 562,318,199/27,430.26
  6. Step 6: Final answer
    x = 20,499.92

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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.