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Finding the Fourth Proportional to 19,643, 29,425.08 and 9,752.36

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Solution

The fourth proportional to 19,643, 29,425.08 and 9,752.36 is: 14,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643 : 29,425.08 = 9,752.36 : x
  2. Step 2: Convert to fraction form
    19,643/29,425.08 = 9,752.36/x
  3. Step 3: Cross multiply
    19,643x = 29,425.08 × 9,752.36
  4. Step 4: Simplify right side
    19,643x = 286,963,973.19
  5. Step 5: Solve for x
    x = 286,963,973.19/19,643
  6. Step 6: Final answer
    x = 14,608.97

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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.