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Finding the Fourth Proportional to 16,730, 23,088.16 and 9,278

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Solution

The fourth proportional to 16,730, 23,088.16 and 9,278 is: 12,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730 : 23,088.16 = 9,278 : x
  2. Step 2: Convert to fraction form
    16,730/23,088.16 = 9,278/x
  3. Step 3: Cross multiply
    16,730x = 23,088.16 × 9,278
  4. Step 4: Simplify right side
    16,730x = 214,211,948.48
  5. Step 5: Solve for x
    x = 214,211,948.48/16,730
  6. Step 6: Final answer
    x = 12,804.06

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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.