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Finding the Fourth Proportional to 13,547.60, 20,314.68 and 4,312.40

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Solution

The fourth proportional to 13,547.60, 20,314.68 and 4,312.40 is: 6,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.60 : 20,314.68 = 4,312.40 : x
  2. Step 2: Convert to fraction form
    13,547.60/20,314.68 = 4,312.40/x
  3. Step 3: Cross multiply
    13,547.60x = 20,314.68 × 4,312.40
  4. Step 4: Simplify right side
    13,547.60x = 87,605,026.03
  5. Step 5: Solve for x
    x = 87,605,026.03/13,547.60
  6. Step 6: Final answer
    x = 6,466.46

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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.