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Finding the Fourth Proportional to 23,643.40, 35,470.29 and 7,004.74

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Solution

The fourth proportional to 23,643.40, 35,470.29 and 7,004.74 is: 10,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.40 : 35,470.29 = 7,004.74 : x
  2. Step 2: Convert to fraction form
    23,643.40/35,470.29 = 7,004.74/x
  3. Step 3: Cross multiply
    23,643.40x = 35,470.29 × 7,004.74
  4. Step 4: Simplify right side
    23,643.40x = 248,460,159.17
  5. Step 5: Solve for x
    x = 248,460,159.17/23,643.40
  6. Step 6: Final answer
    x = 10,508.65

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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.