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Finding the Fourth Proportional to 27,598.25, 38,085.59 and 15,023

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Solution

The fourth proportional to 27,598.25, 38,085.59 and 15,023 is: 20,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,598.25 : 38,085.59 = 15,023 : x
  2. Step 2: Convert to fraction form
    27,598.25/38,085.59 = 15,023/x
  3. Step 3: Cross multiply
    27,598.25x = 38,085.59 × 15,023
  4. Step 4: Simplify right side
    27,598.25x = 572,159,818.57
  5. Step 5: Solve for x
    x = 572,159,818.57/27,598.25
  6. Step 6: Final answer
    x = 20,731.74

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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.