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Finding the Fourth Proportional to 15,970.56, 23,955.92 and 5,575

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Solution

The fourth proportional to 15,970.56, 23,955.92 and 5,575 is: 8,362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.56 : 23,955.92 = 5,575 : x
  2. Step 2: Convert to fraction form
    15,970.56/23,955.92 = 5,575/x
  3. Step 3: Cross multiply
    15,970.56x = 23,955.92 × 5,575
  4. Step 4: Simplify right side
    15,970.56x = 133,554,254.00
  5. Step 5: Solve for x
    x = 133,554,254.00/15,970.56
  6. Step 6: Final answer
    x = 8,362.53

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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.