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Finding the Fourth Proportional to 16,303.16, 22,503.72 and 9,588.50

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Solution

The fourth proportional to 16,303.16, 22,503.72 and 9,588.50 is: 13,235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303.16 : 22,503.72 = 9,588.50 : x
  2. Step 2: Convert to fraction form
    16,303.16/22,503.72 = 9,588.50/x
  3. Step 3: Cross multiply
    16,303.16x = 22,503.72 × 9,588.50
  4. Step 4: Simplify right side
    16,303.16x = 215,776,919.22
  5. Step 5: Solve for x
    x = 215,776,919.22/16,303.16
  6. Step 6: Final answer
    x = 13,235.28

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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.