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Finding the Fourth Proportional to 25,698.16, 38,477.64 and 13,360.24

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Solution

The fourth proportional to 25,698.16, 38,477.64 and 13,360.24 is: 20,004.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,698.16 : 38,477.64 = 13,360.24 : x
  2. Step 2: Convert to fraction form
    25,698.16/38,477.64 = 13,360.24/x
  3. Step 3: Cross multiply
    25,698.16x = 38,477.64 × 13,360.24
  4. Step 4: Simplify right side
    25,698.16x = 514,070,505.03
  5. Step 5: Solve for x
    x = 514,070,505.03/25,698.16
  6. Step 6: Final answer
    x = 20,004.18

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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.