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Finding the Fourth Proportional to 15,973.54, 23,952.36 and 9,312.29

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Solution

The fourth proportional to 15,973.54, 23,952.36 and 9,312.29 is: 13,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,973.54 : 23,952.36 = 9,312.29 : x
  2. Step 2: Convert to fraction form
    15,973.54/23,952.36 = 9,312.29/x
  3. Step 3: Cross multiply
    15,973.54x = 23,952.36 × 9,312.29
  4. Step 4: Simplify right side
    15,973.54x = 223,051,322.50
  5. Step 5: Solve for x
    x = 223,051,322.50/15,973.54
  6. Step 6: Final answer
    x = 13,963.80

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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.