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Finding the Fourth Proportional to 16,686.16, 23,032.04 and 9,617.30

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Solution

The fourth proportional to 16,686.16, 23,032.04 and 9,617.30 is: 13,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,686.16 : 23,032.04 = 9,617.30 : x
  2. Step 2: Convert to fraction form
    16,686.16/23,032.04 = 9,617.30/x
  3. Step 3: Cross multiply
    16,686.16x = 23,032.04 × 9,617.30
  4. Step 4: Simplify right side
    16,686.16x = 221,506,038.29
  5. Step 5: Solve for x
    x = 221,506,038.29/16,686.16
  6. Step 6: Final answer
    x = 13,274.84

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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.