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Finding the Fourth Proportional to 65,564, 98,346.36 and 16,316

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Solution

The fourth proportional to 65,564, 98,346.36 and 16,316 is: 24,474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,564 : 98,346.36 = 16,316 : x
  2. Step 2: Convert to fraction form
    65,564/98,346.36 = 16,316/x
  3. Step 3: Cross multiply
    65,564x = 98,346.36 × 16,316
  4. Step 4: Simplify right side
    65,564x = 1,604,619,209.76
  5. Step 5: Solve for x
    x = 1,604,619,209.76/65,564
  6. Step 6: Final answer
    x = 24,474.09

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