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Finding the Fourth Proportional to 28,354.34, 42,547.17 and 11,710.50

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Solution

The fourth proportional to 28,354.34, 42,547.17 and 11,710.50 is: 17,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,354.34 : 42,547.17 = 11,710.50 : x
  2. Step 2: Convert to fraction form
    28,354.34/42,547.17 = 11,710.50/x
  3. Step 3: Cross multiply
    28,354.34x = 42,547.17 × 11,710.50
  4. Step 4: Simplify right side
    28,354.34x = 498,248,634.29
  5. Step 5: Solve for x
    x = 498,248,634.29/28,354.34
  6. Step 6: Final answer
    x = 17,572.22

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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.