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Finding the Fourth Proportional to 16,875.64, 23,288.10 and 9,802.12

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Solution

The fourth proportional to 16,875.64, 23,288.10 and 9,802.12 is: 13,526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,875.64 : 23,288.10 = 9,802.12 : x
  2. Step 2: Convert to fraction form
    16,875.64/23,288.10 = 9,802.12/x
  3. Step 3: Cross multiply
    16,875.64x = 23,288.10 × 9,802.12
  4. Step 4: Simplify right side
    16,875.64x = 228,272,750.77
  5. Step 5: Solve for x
    x = 228,272,750.77/16,875.64
  6. Step 6: Final answer
    x = 13,526.76

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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.