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Finding the Fourth Proportional to 25,574, 35,293.56 and 14,396.72

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Solution

The fourth proportional to 25,574, 35,293.56 and 14,396.72 is: 19,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574 : 35,293.56 = 14,396.72 : x
  2. Step 2: Convert to fraction form
    25,574/35,293.56 = 14,396.72/x
  3. Step 3: Cross multiply
    25,574x = 35,293.56 × 14,396.72
  4. Step 4: Simplify right side
    25,574x = 508,111,501.12
  5. Step 5: Solve for x
    x = 508,111,501.12/25,574
  6. Step 6: Final answer
    x = 19,868.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.