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Finding the Fourth Proportional to 15,426.91, 23,109.53 and 7,095.50

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Solution

The fourth proportional to 15,426.91, 23,109.53 and 7,095.50 is: 10,629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,426.91 : 23,109.53 = 7,095.50 : x
  2. Step 2: Convert to fraction form
    15,426.91/23,109.53 = 7,095.50/x
  3. Step 3: Cross multiply
    15,426.91x = 23,109.53 × 7,095.50
  4. Step 4: Simplify right side
    15,426.91x = 163,973,688.99
  5. Step 5: Solve for x
    x = 163,973,688.99/15,426.91
  6. Step 6: Final answer
    x = 10,629.07

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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.