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Finding the Fourth Proportional to 27,770.95, 38,323.75 and 15,024.09

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Solution

The fourth proportional to 27,770.95, 38,323.75 and 15,024.09 is: 20,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.95 : 38,323.75 = 15,024.09 : x
  2. Step 2: Convert to fraction form
    27,770.95/38,323.75 = 15,024.09/x
  3. Step 3: Cross multiply
    27,770.95x = 38,323.75 × 15,024.09
  4. Step 4: Simplify right side
    27,770.95x = 575,779,603.46
  5. Step 5: Solve for x
    x = 575,779,603.46/27,770.95
  6. Step 6: Final answer
    x = 20,733.16

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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.