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Finding the Fourth Proportional to 17,582, 26,372.92 and 7,056.72

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Solution

The fourth proportional to 17,582, 26,372.92 and 7,056.72 is: 10,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582 : 26,372.92 = 7,056.72 : x
  2. Step 2: Convert to fraction form
    17,582/26,372.92 = 7,056.72/x
  3. Step 3: Cross multiply
    17,582x = 26,372.92 × 7,056.72
  4. Step 4: Simplify right side
    17,582x = 186,106,312.02
  5. Step 5: Solve for x
    x = 186,106,312.02/17,582
  6. Step 6: Final answer
    x = 10,585.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.