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Finding the Fourth Proportional to 25,707.90, 38,564.93 and 9,064.49

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Solution

The fourth proportional to 25,707.90, 38,564.93 and 9,064.49 is: 13,597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,707.90 : 38,564.93 = 9,064.49 : x
  2. Step 2: Convert to fraction form
    25,707.90/38,564.93 = 9,064.49/x
  3. Step 3: Cross multiply
    25,707.90x = 38,564.93 × 9,064.49
  4. Step 4: Simplify right side
    25,707.90x = 349,571,422.34
  5. Step 5: Solve for x
    x = 349,571,422.34/25,707.90
  6. Step 6: Final answer
    x = 13,597.82

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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.