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Finding the Fourth Proportional to 12,117.63, 16,718.31 and 9,875.66

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Solution

The fourth proportional to 12,117.63, 16,718.31 and 9,875.66 is: 13,625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.63 : 16,718.31 = 9,875.66 : x
  2. Step 2: Convert to fraction form
    12,117.63/16,718.31 = 9,875.66/x
  3. Step 3: Cross multiply
    12,117.63x = 16,718.31 × 9,875.66
  4. Step 4: Simplify right side
    12,117.63x = 165,104,261.74
  5. Step 5: Solve for x
    x = 165,104,261.74/12,117.63
  6. Step 6: Final answer
    x = 13,625.13

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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.