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Finding the Fourth Proportional to 17,970.47, 24,798.17 and 10,416.21

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Solution

The fourth proportional to 17,970.47, 24,798.17 and 10,416.21 is: 14,373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,970.47 : 24,798.17 = 10,416.21 : x
  2. Step 2: Convert to fraction form
    17,970.47/24,798.17 = 10,416.21/x
  3. Step 3: Cross multiply
    17,970.47x = 24,798.17 × 10,416.21
  4. Step 4: Simplify right side
    17,970.47x = 258,302,894.25
  5. Step 5: Solve for x
    x = 258,302,894.25/17,970.47
  6. Step 6: Final answer
    x = 14,373.75

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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.