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Finding the Fourth Proportional to 13,031.40, 19,547.28 and 9,364.80

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Solution

The fourth proportional to 13,031.40, 19,547.28 and 9,364.80 is: 14,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.40 : 19,547.28 = 9,364.80 : x
  2. Step 2: Convert to fraction form
    13,031.40/19,547.28 = 9,364.80/x
  3. Step 3: Cross multiply
    13,031.40x = 19,547.28 × 9,364.80
  4. Step 4: Simplify right side
    13,031.40x = 183,056,367.74
  5. Step 5: Solve for x
    x = 183,056,367.74/13,031.40
  6. Step 6: Final answer
    x = 14,047.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.