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Finding the Fourth Proportional to 27,547.75, 38,015.90 and 14,972.50

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Solution

The fourth proportional to 27,547.75, 38,015.90 and 14,972.50 is: 20,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547.75 : 38,015.90 = 14,972.50 : x
  2. Step 2: Convert to fraction form
    27,547.75/38,015.90 = 14,972.50/x
  3. Step 3: Cross multiply
    27,547.75x = 38,015.90 × 14,972.50
  4. Step 4: Simplify right side
    27,547.75x = 569,193,062.75
  5. Step 5: Solve for x
    x = 569,193,062.75/27,547.75
  6. Step 6: Final answer
    x = 20,662.05

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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.