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Finding the Fourth Proportional to 21,980.34, 30,331.80 and 12,547.08

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Solution

The fourth proportional to 21,980.34, 30,331.80 and 12,547.08 is: 17,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.34 : 30,331.80 = 12,547.08 : x
  2. Step 2: Convert to fraction form
    21,980.34/30,331.80 = 12,547.08/x
  3. Step 3: Cross multiply
    21,980.34x = 30,331.80 × 12,547.08
  4. Step 4: Simplify right side
    21,980.34x = 380,575,521.14
  5. Step 5: Solve for x
    x = 380,575,521.14/21,980.34
  6. Step 6: Final answer
    x = 17,314.36

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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.