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Finding the Fourth Proportional to 15,528.76, 21,454.74 and 10,834

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Solution

The fourth proportional to 15,528.76, 21,454.74 and 10,834 is: 14,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,528.76 : 21,454.74 = 10,834 : x
  2. Step 2: Convert to fraction form
    15,528.76/21,454.74 = 10,834/x
  3. Step 3: Cross multiply
    15,528.76x = 21,454.74 × 10,834
  4. Step 4: Simplify right side
    15,528.76x = 232,440,653.16
  5. Step 5: Solve for x
    x = 232,440,653.16/15,528.76
  6. Step 6: Final answer
    x = 14,968.40

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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.