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Finding the Fourth Proportional to 17,969.47, 24,798.01 and 10,417.63

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Solution

The fourth proportional to 17,969.47, 24,798.01 and 10,417.63 is: 14,376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969.47 : 24,798.01 = 10,417.63 : x
  2. Step 2: Convert to fraction form
    17,969.47/24,798.01 = 10,417.63/x
  3. Step 3: Cross multiply
    17,969.47x = 24,798.01 × 10,417.63
  4. Step 4: Simplify right side
    17,969.47x = 258,336,492.92
  5. Step 5: Solve for x
    x = 258,336,492.92/17,969.47
  6. Step 6: Final answer
    x = 14,376.41

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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.