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Finding the Fourth Proportional to 17,663.16, 24,373.98 and 9,705

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Solution

The fourth proportional to 17,663.16, 24,373.98 and 9,705 is: 13,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.16 : 24,373.98 = 9,705 : x
  2. Step 2: Convert to fraction form
    17,663.16/24,373.98 = 9,705/x
  3. Step 3: Cross multiply
    17,663.16x = 24,373.98 × 9,705
  4. Step 4: Simplify right side
    17,663.16x = 236,549,475.90
  5. Step 5: Solve for x
    x = 236,549,475.90/17,663.16
  6. Step 6: Final answer
    x = 13,392.25

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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.