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Finding the Fourth Proportional to 15,585.60, 23,378.40 and 12,815.40

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Solution

The fourth proportional to 15,585.60, 23,378.40 and 12,815.40 is: 19,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,585.60 : 23,378.40 = 12,815.40 : x
  2. Step 2: Convert to fraction form
    15,585.60/23,378.40 = 12,815.40/x
  3. Step 3: Cross multiply
    15,585.60x = 23,378.40 × 12,815.40
  4. Step 4: Simplify right side
    15,585.60x = 299,603,547.36
  5. Step 5: Solve for x
    x = 299,603,547.36/15,585.60
  6. Step 6: Final answer
    x = 19,223.10

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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.