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Finding the Fourth Proportional to 15,678.34, 21,636.12 and 8,605.16

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Solution

The fourth proportional to 15,678.34, 21,636.12 and 8,605.16 is: 11,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678.34 : 21,636.12 = 8,605.16 : x
  2. Step 2: Convert to fraction form
    15,678.34/21,636.12 = 8,605.16/x
  3. Step 3: Cross multiply
    15,678.34x = 21,636.12 × 8,605.16
  4. Step 4: Simplify right side
    15,678.34x = 186,182,274.38
  5. Step 5: Solve for x
    x = 186,182,274.38/15,678.34
  6. Step 6: Final answer
    x = 11,875.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.