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Finding the Fourth Proportional to 14,031.30, 19,353.06 and 9,547.14

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Solution

The fourth proportional to 14,031.30, 19,353.06 and 9,547.14 is: 13,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.30 : 19,353.06 = 9,547.14 : x
  2. Step 2: Convert to fraction form
    14,031.30/19,353.06 = 9,547.14/x
  3. Step 3: Cross multiply
    14,031.30x = 19,353.06 × 9,547.14
  4. Step 4: Simplify right side
    14,031.30x = 184,766,373.25
  5. Step 5: Solve for x
    x = 184,766,373.25/14,031.30
  6. Step 6: Final answer
    x = 13,168.16

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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.