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Finding the Fourth Proportional to 25,574.24, 38,335.44 and 9,970.40

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Solution

The fourth proportional to 25,574.24, 38,335.44 and 9,970.40 is: 14,945.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574.24 : 38,335.44 = 9,970.40 : x
  2. Step 2: Convert to fraction form
    25,574.24/38,335.44 = 9,970.40/x
  3. Step 3: Cross multiply
    25,574.24x = 38,335.44 × 9,970.40
  4. Step 4: Simplify right side
    25,574.24x = 382,219,670.98
  5. Step 5: Solve for x
    x = 382,219,670.98/25,574.24
  6. Step 6: Final answer
    x = 14,945.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.