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Finding the Fourth Proportional to 27,907.78, 38,512.06 and 15,970.35

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Solution

The fourth proportional to 27,907.78, 38,512.06 and 15,970.35 is: 22,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907.78 : 38,512.06 = 15,970.35 : x
  2. Step 2: Convert to fraction form
    27,907.78/38,512.06 = 15,970.35/x
  3. Step 3: Cross multiply
    27,907.78x = 38,512.06 × 15,970.35
  4. Step 4: Simplify right side
    27,907.78x = 615,051,077.42
  5. Step 5: Solve for x
    x = 615,051,077.42/27,907.78
  6. Step 6: Final answer
    x = 22,038.70

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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.