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Finding the Fourth Proportional to 10,988.54, 16,569.02 and 10,070

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Solution

The fourth proportional to 10,988.54, 16,569.02 and 10,070 is: 15,184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,988.54 : 16,569.02 = 10,070 : x
  2. Step 2: Convert to fraction form
    10,988.54/16,569.02 = 10,070/x
  3. Step 3: Cross multiply
    10,988.54x = 16,569.02 × 10,070
  4. Step 4: Simplify right side
    10,988.54x = 166,850,031.40
  5. Step 5: Solve for x
    x = 166,850,031.40/10,988.54
  6. Step 6: Final answer
    x = 15,184.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.