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Finding the Fourth Proportional to 22,547.66, 31,113.70 and 12,985

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Solution

The fourth proportional to 22,547.66, 31,113.70 and 12,985 is: 17,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.66 : 31,113.70 = 12,985 : x
  2. Step 2: Convert to fraction form
    22,547.66/31,113.70 = 12,985/x
  3. Step 3: Cross multiply
    22,547.66x = 31,113.70 × 12,985
  4. Step 4: Simplify right side
    22,547.66x = 404,011,394.50
  5. Step 5: Solve for x
    x = 404,011,394.50/22,547.66
  6. Step 6: Final answer
    x = 17,918.11

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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.