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Finding the Fourth Proportional to 19,419.57, 26,782.47 and 16,409.40

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Solution

The fourth proportional to 19,419.57, 26,782.47 and 16,409.40 is: 22,631.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,419.57 : 26,782.47 = 16,409.40 : x
  2. Step 2: Convert to fraction form
    19,419.57/26,782.47 = 16,409.40/x
  3. Step 3: Cross multiply
    19,419.57x = 26,782.47 × 16,409.40
  4. Step 4: Simplify right side
    19,419.57x = 439,484,263.22
  5. Step 5: Solve for x
    x = 439,484,263.22/19,419.57
  6. Step 6: Final answer
    x = 22,631.00

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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.