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Finding the Fourth Proportional to 23,417.83, 32,316.64 and 13,209

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Solution

The fourth proportional to 23,417.83, 32,316.64 and 13,209 is: 18,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,417.83 : 32,316.64 = 13,209 : x
  2. Step 2: Convert to fraction form
    23,417.83/32,316.64 = 13,209/x
  3. Step 3: Cross multiply
    23,417.83x = 32,316.64 × 13,209
  4. Step 4: Simplify right side
    23,417.83x = 426,870,497.76
  5. Step 5: Solve for x
    x = 426,870,497.76/23,417.83
  6. Step 6: Final answer
    x = 18,228.44

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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.