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Finding the Fourth Proportional to 15,470.64, 23,153.40 and 9,551.30

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Solution

The fourth proportional to 15,470.64, 23,153.40 and 9,551.30 is: 14,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,470.64 : 23,153.40 = 9,551.30 : x
  2. Step 2: Convert to fraction form
    15,470.64/23,153.40 = 9,551.30/x
  3. Step 3: Cross multiply
    15,470.64x = 23,153.40 × 9,551.30
  4. Step 4: Simplify right side
    15,470.64x = 221,144,953.65
  5. Step 5: Solve for x
    x = 221,144,953.65/15,470.64
  6. Step 6: Final answer
    x = 14,294.49

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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.