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Finding the Fourth Proportional to 16,302.16, 22,510.77 and 10,344.40

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Solution

The fourth proportional to 16,302.16, 22,510.77 and 10,344.40 is: 14,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.16 : 22,510.77 = 10,344.40 : x
  2. Step 2: Convert to fraction form
    16,302.16/22,510.77 = 10,344.40/x
  3. Step 3: Cross multiply
    16,302.16x = 22,510.77 × 10,344.40
  4. Step 4: Simplify right side
    16,302.16x = 232,860,409.19
  5. Step 5: Solve for x
    x = 232,860,409.19/16,302.16
  6. Step 6: Final answer
    x = 14,284.02

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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.