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Finding the Fourth Proportional to 22,706.64, 34,051.32 and 10,386

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Solution

The fourth proportional to 22,706.64, 34,051.32 and 10,386 is: 15,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.64 : 34,051.32 = 10,386 : x
  2. Step 2: Convert to fraction form
    22,706.64/34,051.32 = 10,386/x
  3. Step 3: Cross multiply
    22,706.64x = 34,051.32 × 10,386
  4. Step 4: Simplify right side
    22,706.64x = 353,657,009.52
  5. Step 5: Solve for x
    x = 353,657,009.52/22,706.64
  6. Step 6: Final answer
    x = 15,575.05

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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.